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Finding the Fourth Proportional to 361,769.96, 542,348.70 and 137,006.48

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Solution

The fourth proportional to 361,769.96, 542,348.70 and 137,006.48 is: 205,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,769.96 : 542,348.70 = 137,006.48 : x
  2. Step 2: Convert to fraction form
    361,769.96/542,348.70 = 137,006.48/x
  3. Step 3: Cross multiply
    361,769.96x = 542,348.70 × 137,006.48
  4. Step 4: Simplify right side
    361,769.96x = 74,305,286,319.58
  5. Step 5: Solve for x
    x = 74,305,286,319.58/361,769.96
  6. Step 6: Final answer
    x = 205,393.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.