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Finding the Fourth Proportional to 142,057.60, 213,086.40 and 82,862.80

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Solution

The fourth proportional to 142,057.60, 213,086.40 and 82,862.80 is: 124,294.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,057.60 : 213,086.40 = 82,862.80 : x
  2. Step 2: Convert to fraction form
    142,057.60/213,086.40 = 82,862.80/x
  3. Step 3: Cross multiply
    142,057.60x = 213,086.40 × 82,862.80
  4. Step 4: Simplify right side
    142,057.60x = 17,656,935,745.92
  5. Step 5: Solve for x
    x = 17,656,935,745.92/142,057.60
  6. Step 6: Final answer
    x = 124,294.20

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Why These Related Problems?

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