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Finding the Fourth Proportional to 229,716.50, 344,574.77 and 71,957.25

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Solution

The fourth proportional to 229,716.50, 344,574.77 and 71,957.25 is: 107,935.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,716.50 : 344,574.77 = 71,957.25 : x
  2. Step 2: Convert to fraction form
    229,716.50/344,574.77 = 71,957.25/x
  3. Step 3: Cross multiply
    229,716.50x = 344,574.77 × 71,957.25
  4. Step 4: Simplify right side
    229,716.50x = 24,794,652,508.80
  5. Step 5: Solve for x
    x = 24,794,652,508.80/229,716.50
  6. Step 6: Final answer
    x = 107,935.88

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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.