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Finding the Fourth Proportional to 229,712.56, 344,568.84 and 71,953.31

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Solution

The fourth proportional to 229,712.56, 344,568.84 and 71,953.31 is: 107,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,712.56 : 344,568.84 = 71,953.31 : x
  2. Step 2: Convert to fraction form
    229,712.56/344,568.84 = 71,953.31/x
  3. Step 3: Cross multiply
    229,712.56x = 344,568.84 × 71,953.31
  4. Step 4: Simplify right side
    229,712.56x = 24,792,869,152.46
  5. Step 5: Solve for x
    x = 24,792,869,152.46/229,712.56
  6. Step 6: Final answer
    x = 107,929.97

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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.