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Finding the Fourth Proportional to 285,456.54, 393,930.03 and 158,140.38

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Solution

The fourth proportional to 285,456.54, 393,930.03 and 158,140.38 is: 218,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,456.54 : 393,930.03 = 158,140.38 : x
  2. Step 2: Convert to fraction form
    285,456.54/393,930.03 = 158,140.38/x
  3. Step 3: Cross multiply
    285,456.54x = 393,930.03 × 158,140.38
  4. Step 4: Simplify right side
    285,456.54x = 62,296,244,637.61
  5. Step 5: Solve for x
    x = 62,296,244,637.61/285,456.54
  6. Step 6: Final answer
    x = 218,233.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.