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Finding the Fourth Proportional to 142,002.40, 213,033.84 and 42,162.88

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Solution

The fourth proportional to 142,002.40, 213,033.84 and 42,162.88 is: 63,253.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,002.40 : 213,033.84 = 42,162.88 : x
  2. Step 2: Convert to fraction form
    142,002.40/213,033.84 = 42,162.88/x
  3. Step 3: Cross multiply
    142,002.40x = 213,033.84 × 42,162.88
  4. Step 4: Simplify right side
    142,002.40x = 8,982,120,231.86
  5. Step 5: Solve for x
    x = 8,982,120,231.86/142,002.40
  6. Step 6: Final answer
    x = 63,253.30

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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.