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Finding the Fourth Proportional to 138,752.41, 208,001.04 and 49,984.21

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Solution

The fourth proportional to 138,752.41, 208,001.04 and 49,984.21 is: 74,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,752.41 : 208,001.04 = 49,984.21 : x
  2. Step 2: Convert to fraction form
    138,752.41/208,001.04 = 49,984.21/x
  3. Step 3: Cross multiply
    138,752.41x = 208,001.04 × 49,984.21
  4. Step 4: Simplify right side
    138,752.41x = 10,396,766,706.71
  5. Step 5: Solve for x
    x = 10,396,766,706.71/138,752.41
  6. Step 6: Final answer
    x = 74,930.35

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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.