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Finding the Fourth Proportional to 113,957.76, 170,957.68 and 57,061.68

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Solution

The fourth proportional to 113,957.76, 170,957.68 and 57,061.68 is: 85,603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,957.76 : 170,957.68 = 57,061.68 : x
  2. Step 2: Convert to fraction form
    113,957.76/170,957.68 = 57,061.68/x
  3. Step 3: Cross multiply
    113,957.76x = 170,957.68 × 57,061.68
  4. Step 4: Simplify right side
    113,957.76x = 9,755,132,429.70
  5. Step 5: Solve for x
    x = 9,755,132,429.70/113,957.76
  6. Step 6: Final answer
    x = 85,603.06

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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.