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Finding the Fourth Proportional to 137,353.06, 206,099.90 and 65,387.41

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Solution

The fourth proportional to 137,353.06, 206,099.90 and 65,387.41 is: 98,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,353.06 : 206,099.90 = 65,387.41 : x
  2. Step 2: Convert to fraction form
    137,353.06/206,099.90 = 65,387.41/x
  3. Step 3: Cross multiply
    137,353.06x = 206,099.90 × 65,387.41
  4. Step 4: Simplify right side
    137,353.06x = 13,476,338,310.48
  5. Step 5: Solve for x
    x = 13,476,338,310.48/137,353.06
  6. Step 6: Final answer
    x = 98,114.59

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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.