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Finding the Fourth Proportional to 152,121.90, 209,906.96 and 87,581.10

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Solution

The fourth proportional to 152,121.90, 209,906.96 and 87,581.10 is: 120,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,121.90 : 209,906.96 = 87,581.10 : x
  2. Step 2: Convert to fraction form
    152,121.90/209,906.96 = 87,581.10/x
  3. Step 3: Cross multiply
    152,121.90x = 209,906.96 × 87,581.10
  4. Step 4: Simplify right side
    152,121.90x = 18,383,882,454.46
  5. Step 5: Solve for x
    x = 18,383,882,454.46/152,121.90
  6. Step 6: Final answer
    x = 120,849.68

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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.