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Finding the Fourth Proportional to 142,502.40, 213,753.60 and 76,147.20

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Solution

The fourth proportional to 142,502.40, 213,753.60 and 76,147.20 is: 114,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,502.40 : 213,753.60 = 76,147.20 : x
  2. Step 2: Convert to fraction form
    142,502.40/213,753.60 = 76,147.20/x
  3. Step 3: Cross multiply
    142,502.40x = 213,753.60 × 76,147.20
  4. Step 4: Simplify right side
    142,502.40x = 16,276,738,129.92
  5. Step 5: Solve for x
    x = 16,276,738,129.92/142,502.40
  6. Step 6: Final answer
    x = 114,220.80

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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.