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Finding the Fourth Proportional to 229,502.60, 344,254.18 and 71,731.88

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Solution

The fourth proportional to 229,502.60, 344,254.18 and 71,731.88 is: 107,597.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,502.60 : 344,254.18 = 71,731.88 : x
  2. Step 2: Convert to fraction form
    229,502.60/344,254.18 = 71,731.88/x
  3. Step 3: Cross multiply
    229,502.60x = 344,254.18 × 71,731.88
  4. Step 4: Simplify right side
    229,502.60x = 24,693,999,529.26
  5. Step 5: Solve for x
    x = 24,693,999,529.26/229,502.60
  6. Step 6: Final answer
    x = 107,597.91

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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.