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Finding the Fourth Proportional to 285,447.24, 393,897.33 and 158,112

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Solution

The fourth proportional to 285,447.24, 393,897.33 and 158,112 is: 218,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,447.24 : 393,897.33 = 158,112 : x
  2. Step 2: Convert to fraction form
    285,447.24/393,897.33 = 158,112/x
  3. Step 3: Cross multiply
    285,447.24x = 393,897.33 × 158,112
  4. Step 4: Simplify right side
    285,447.24x = 62,279,894,640.96
  5. Step 5: Solve for x
    x = 62,279,894,640.96/285,447.24
  6. Step 6: Final answer
    x = 218,183.56

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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.