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Finding the Fourth Proportional to 102,125.20, 152,842.20 and 89,683.60

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Solution

The fourth proportional to 102,125.20, 152,842.20 and 89,683.60 is: 134,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125.20 : 152,842.20 = 89,683.60 : x
  2. Step 2: Convert to fraction form
    102,125.20/152,842.20 = 89,683.60/x
  3. Step 3: Cross multiply
    102,125.20x = 152,842.20 × 89,683.60
  4. Step 4: Simplify right side
    102,125.20x = 13,707,438,727.92
  5. Step 5: Solve for x
    x = 13,707,438,727.92/102,125.20
  6. Step 6: Final answer
    x = 134,221.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.