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Finding the Fourth Proportional to 107,132.78, 160,540.79 and 101,141.78

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Solution

The fourth proportional to 107,132.78, 160,540.79 and 101,141.78 is: 151,563.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,132.78 : 160,540.79 = 101,141.78 : x
  2. Step 2: Convert to fraction form
    107,132.78/160,540.79 = 101,141.78/x
  3. Step 3: Cross multiply
    107,132.78x = 160,540.79 × 101,141.78
  4. Step 4: Simplify right side
    107,132.78x = 16,237,381,263.21
  5. Step 5: Solve for x
    x = 16,237,381,263.21/107,132.78
  6. Step 6: Final answer
    x = 151,563.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.