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Finding the Fourth Proportional to 229,716.54, 344,574.72 and 71,957.25

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Solution

The fourth proportional to 229,716.54, 344,574.72 and 71,957.25 is: 107,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,716.54 : 344,574.72 = 71,957.25 : x
  2. Step 2: Convert to fraction form
    229,716.54/344,574.72 = 71,957.25/x
  3. Step 3: Cross multiply
    229,716.54x = 344,574.72 × 71,957.25
  4. Step 4: Simplify right side
    229,716.54x = 24,794,649,270.72
  5. Step 5: Solve for x
    x = 24,794,649,270.72/229,716.54
  6. Step 6: Final answer
    x = 107,935.85

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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.