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Finding the Fourth Proportional to 231,732.66, 347,664.60 and 137,046.90

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Solution

The fourth proportional to 231,732.66, 347,664.60 and 137,046.90 is: 205,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,732.66 : 347,664.60 = 137,046.90 : x
  2. Step 2: Convert to fraction form
    231,732.66/347,664.60 = 137,046.90/x
  3. Step 3: Cross multiply
    231,732.66x = 347,664.60 × 137,046.90
  4. Step 4: Simplify right side
    231,732.66x = 47,646,355,669.74
  5. Step 5: Solve for x
    x = 47,646,355,669.74/231,732.66
  6. Step 6: Final answer
    x = 205,609.15

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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.