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Finding the Fourth Proportional to 113,838.29, 157,096.10 and 62,854.20

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Solution

The fourth proportional to 113,838.29, 157,096.10 and 62,854.20 is: 86,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,838.29 : 157,096.10 = 62,854.20 : x
  2. Step 2: Convert to fraction form
    113,838.29/157,096.10 = 62,854.20/x
  3. Step 3: Cross multiply
    113,838.29x = 157,096.10 × 62,854.20
  4. Step 4: Simplify right side
    113,838.29x = 9,874,149,688.62
  5. Step 5: Solve for x
    x = 9,874,149,688.62/113,838.29
  6. Step 6: Final answer
    x = 86,738.39

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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.