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Finding the Fourth Proportional to 142,414.10, 213,653.55 and 83,219.30

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Solution

The fourth proportional to 142,414.10, 213,653.55 and 83,219.30 is: 124,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,414.10 : 213,653.55 = 83,219.30 : x
  2. Step 2: Convert to fraction form
    142,414.10/213,653.55 = 83,219.30/x
  3. Step 3: Cross multiply
    142,414.10x = 213,653.55 × 83,219.30
  4. Step 4: Simplify right side
    142,414.10x = 17,780,098,873.52
  5. Step 5: Solve for x
    x = 17,780,098,873.52/142,414.10
  6. Step 6: Final answer
    x = 124,847.88

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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.