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Finding the Fourth Proportional to 103,189.38, 142,402.91 and 60,167.70

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Solution

The fourth proportional to 103,189.38, 142,402.91 and 60,167.70 is: 83,032.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,189.38 : 142,402.91 = 60,167.70 : x
  2. Step 2: Convert to fraction form
    103,189.38/142,402.91 = 60,167.70/x
  3. Step 3: Cross multiply
    103,189.38x = 142,402.91 × 60,167.70
  4. Step 4: Simplify right side
    103,189.38x = 8,568,055,267.17
  5. Step 5: Solve for x
    x = 8,568,055,267.17/103,189.38
  6. Step 6: Final answer
    x = 83,032.34

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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.