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Finding the Fourth Proportional to 187,762, 259,111.64 and 102,882.32

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Solution

The fourth proportional to 187,762, 259,111.64 and 102,882.32 is: 141,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,762 : 259,111.64 = 102,882.32 : x
  2. Step 2: Convert to fraction form
    187,762/259,111.64 = 102,882.32/x
  3. Step 3: Cross multiply
    187,762x = 259,111.64 × 102,882.32
  4. Step 4: Simplify right side
    187,762x = 26,658,006,662.20
  5. Step 5: Solve for x
    x = 26,658,006,662.20/187,762
  6. Step 6: Final answer
    x = 141,977.65

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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.