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Finding the Fourth Proportional to 83,509.20, 124,972.20 and 57,265.20

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Solution

The fourth proportional to 83,509.20, 124,972.20 and 57,265.20 is: 85,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,509.20 : 124,972.20 = 57,265.20 : x
  2. Step 2: Convert to fraction form
    83,509.20/124,972.20 = 57,265.20/x
  3. Step 3: Cross multiply
    83,509.20x = 124,972.20 × 57,265.20
  4. Step 4: Simplify right side
    83,509.20x = 7,156,558,027.44
  5. Step 5: Solve for x
    x = 7,156,558,027.44/83,509.20
  6. Step 6: Final answer
    x = 85,697.84

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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.