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Finding the Fourth Proportional to 280,374.68, 386,865.32 and 159,508.91

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Solution

The fourth proportional to 280,374.68, 386,865.32 and 159,508.91 is: 220,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,374.68 : 386,865.32 = 159,508.91 : x
  2. Step 2: Convert to fraction form
    280,374.68/386,865.32 = 159,508.91/x
  3. Step 3: Cross multiply
    280,374.68x = 386,865.32 × 159,508.91
  4. Step 4: Simplify right side
    280,374.68x = 61,708,465,679.62
  5. Step 5: Solve for x
    x = 61,708,465,679.62/280,374.68
  6. Step 6: Final answer
    x = 220,092.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.