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Finding the Fourth Proportional to 285,154.56, 393,508.53 and 157,827.42

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Solution

The fourth proportional to 285,154.56, 393,508.53 and 157,827.42 is: 217,799.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,154.56 : 393,508.53 = 157,827.42 : x
  2. Step 2: Convert to fraction form
    285,154.56/393,508.53 = 157,827.42/x
  3. Step 3: Cross multiply
    285,154.56x = 393,508.53 × 157,827.42
  4. Step 4: Simplify right side
    285,154.56x = 62,106,436,037.89
  5. Step 5: Solve for x
    x = 62,106,436,037.89/285,154.56
  6. Step 6: Final answer
    x = 217,799.20

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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.