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Finding the Fourth Proportional to 361,882.09, 542,740.51 and 137,267.47

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Solution

The fourth proportional to 361,882.09, 542,740.51 and 137,267.47 is: 205,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,882.09 : 542,740.51 = 137,267.47 : x
  2. Step 2: Convert to fraction form
    361,882.09/542,740.51 = 137,267.47/x
  3. Step 3: Cross multiply
    361,882.09x = 542,740.51 × 137,267.47
  4. Step 4: Simplify right side
    361,882.09x = 74,500,616,674.21
  5. Step 5: Solve for x
    x = 74,500,616,674.21/361,882.09
  6. Step 6: Final answer
    x = 205,869.86

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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.