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Finding the Fourth Proportional to 231,722.65, 347,639.45 and 96,711.64

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Solution

The fourth proportional to 231,722.65, 347,639.45 and 96,711.64 is: 145,090.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,722.65 : 347,639.45 = 96,711.64 : x
  2. Step 2: Convert to fraction form
    231,722.65/347,639.45 = 96,711.64/x
  3. Step 3: Cross multiply
    231,722.65x = 347,639.45 × 96,711.64
  4. Step 4: Simplify right side
    231,722.65x = 33,620,781,338.20
  5. Step 5: Solve for x
    x = 33,620,781,338.20/231,722.65
  6. Step 6: Final answer
    x = 145,090.61

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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.