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Finding the Fourth Proportional to 285,189.12, 393,544.08 and 157,857.12

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Solution

The fourth proportional to 285,189.12, 393,544.08 and 157,857.12 is: 217,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,189.12 : 393,544.08 = 157,857.12 : x
  2. Step 2: Convert to fraction form
    285,189.12/393,544.08 = 157,857.12/x
  3. Step 3: Cross multiply
    285,189.12x = 393,544.08 × 157,857.12
  4. Step 4: Simplify right side
    285,189.12x = 62,123,735,061.85
  5. Step 5: Solve for x
    x = 62,123,735,061.85/285,189.12
  6. Step 6: Final answer
    x = 217,833.47

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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.