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Finding the Fourth Proportional to 142,169.40, 213,122.26 and 53,481.68

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Solution

The fourth proportional to 142,169.40, 213,122.26 and 53,481.68 is: 80,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,169.40 : 213,122.26 = 53,481.68 : x
  2. Step 2: Convert to fraction form
    142,169.40/213,122.26 = 53,481.68/x
  3. Step 3: Cross multiply
    142,169.40x = 213,122.26 × 53,481.68
  4. Step 4: Simplify right side
    142,169.40x = 11,398,136,510.20
  5. Step 5: Solve for x
    x = 11,398,136,510.20/142,169.40
  6. Step 6: Final answer
    x = 80,172.92

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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.