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Finding the Fourth Proportional to 103,033.38, 142,229.79 and 67,254.06

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Solution

The fourth proportional to 103,033.38, 142,229.79 and 67,254.06 is: 92,839.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,033.38 : 142,229.79 = 67,254.06 : x
  2. Step 2: Convert to fraction form
    103,033.38/142,229.79 = 67,254.06/x
  3. Step 3: Cross multiply
    103,033.38x = 142,229.79 × 67,254.06
  4. Step 4: Simplify right side
    103,033.38x = 9,565,530,830.45
  5. Step 5: Solve for x
    x = 9,565,530,830.45/103,033.38
  6. Step 6: Final answer
    x = 92,839.14

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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.