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Finding the Fourth Proportional to 185,978,712.32, 256,644,163.20 and 102,339,027.20

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Solution

The fourth proportional to 185,978,712.32, 256,644,163.20 and 102,339,027.20 is: 141,224,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,978,712.32 : 256,644,163.20 = 102,339,027.20 : x
  2. Step 2: Convert to fraction form
    185,978,712.32/256,644,163.20 = 102,339,027.20/x
  3. Step 3: Cross multiply
    185,978,712.32x = 256,644,163.20 × 102,339,027.20
  4. Step 4: Simplify right side
    185,978,712.32x = 26,264,713,998,446,040
  5. Step 5: Solve for x
    x = 26,264,713,998,446,040/185,978,712.32
  6. Step 6: Final answer
    x = 141,224,302.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.