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Finding the Fourth Proportional to 142,951.96, 197,209 and 89,250.24

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Solution

The fourth proportional to 142,951.96, 197,209 and 89,250.24 is: 123,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,951.96 : 197,209 = 89,250.24 : x
  2. Step 2: Convert to fraction form
    142,951.96/197,209 = 89,250.24/x
  3. Step 3: Cross multiply
    142,951.96x = 197,209 × 89,250.24
  4. Step 4: Simplify right side
    142,951.96x = 17,600,950,580.16
  5. Step 5: Solve for x
    x = 17,600,950,580.16/142,951.96
  6. Step 6: Final answer
    x = 123,124.93

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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.