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Finding the Fourth Proportional to 285,701.89, 394,242.09 and 158,366.65

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Solution

The fourth proportional to 285,701.89, 394,242.09 and 158,366.65 is: 218,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,701.89 : 394,242.09 = 158,366.65 : x
  2. Step 2: Convert to fraction form
    285,701.89/394,242.09 = 158,366.65/x
  3. Step 3: Cross multiply
    285,701.89x = 394,242.09 × 158,366.65
  4. Step 4: Simplify right side
    285,701.89x = 62,434,799,082.30
  5. Step 5: Solve for x
    x = 62,434,799,082.30/285,701.89
  6. Step 6: Final answer
    x = 218,531.28

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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.