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Finding the Fourth Proportional to 229,534.60, 344,302.14 and 71,763.88

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Solution

The fourth proportional to 229,534.60, 344,302.14 and 71,763.88 is: 107,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,534.60 : 344,302.14 = 71,763.88 : x
  2. Step 2: Convert to fraction form
    229,534.60/344,302.14 = 71,763.88/x
  3. Step 3: Cross multiply
    229,534.60x = 344,302.14 × 71,763.88
  4. Step 4: Simplify right side
    229,534.60x = 24,708,457,458.70
  5. Step 5: Solve for x
    x = 24,708,457,458.70/229,534.60
  6. Step 6: Final answer
    x = 107,645.90

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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.