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Finding the Fourth Proportional to 142,193.28, 213,312.96 and 72,044.16

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Solution

The fourth proportional to 142,193.28, 213,312.96 and 72,044.16 is: 108,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,193.28 : 213,312.96 = 72,044.16 : x
  2. Step 2: Convert to fraction form
    142,193.28/213,312.96 = 72,044.16/x
  3. Step 3: Cross multiply
    142,193.28x = 213,312.96 × 72,044.16
  4. Step 4: Simplify right side
    142,193.28x = 15,367,953,020.31
  5. Step 5: Solve for x
    x = 15,367,953,020.31/142,193.28
  6. Step 6: Final answer
    x = 108,077.91

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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.