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Finding the Fourth Proportional to 142,951.96, 197,209.02 and 89,250.22

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Solution

The fourth proportional to 142,951.96, 197,209.02 and 89,250.22 is: 123,124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,951.96 : 197,209.02 = 89,250.22 : x
  2. Step 2: Convert to fraction form
    142,951.96/197,209.02 = 89,250.22/x
  3. Step 3: Cross multiply
    142,951.96x = 197,209.02 × 89,250.22
  4. Step 4: Simplify right side
    142,951.96x = 17,600,948,420.98
  5. Step 5: Solve for x
    x = 17,600,948,420.98/142,951.96
  6. Step 6: Final answer
    x = 123,124.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.