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Finding the Fourth Proportional to 142,534.20, 213,793.56 and 53,785.56

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Solution

The fourth proportional to 142,534.20, 213,793.56 and 53,785.56 is: 80,675.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,534.20 : 213,793.56 = 53,785.56 : x
  2. Step 2: Convert to fraction form
    142,534.20/213,793.56 = 53,785.56/x
  3. Step 3: Cross multiply
    142,534.20x = 213,793.56 × 53,785.56
  4. Step 4: Simplify right side
    142,534.20x = 11,499,006,348.99
  5. Step 5: Solve for x
    x = 11,499,006,348.99/142,534.20
  6. Step 6: Final answer
    x = 80,675.42

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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.