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Finding the Fourth Proportional to 285,414.50, 393,872.01 and 158,098.30

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Solution

The fourth proportional to 285,414.50, 393,872.01 and 158,098.30 is: 218,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,414.50 : 393,872.01 = 158,098.30 : x
  2. Step 2: Convert to fraction form
    285,414.50/393,872.01 = 158,098.30/x
  3. Step 3: Cross multiply
    285,414.50x = 393,872.01 × 158,098.30
  4. Step 4: Simplify right side
    285,414.50x = 62,270,495,198.58
  5. Step 5: Solve for x
    x = 62,270,495,198.58/285,414.50
  6. Step 6: Final answer
    x = 218,175.65

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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.