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Finding the Fourth Proportional to 229,723.62, 316,972.13 and 134,211.86

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Solution

The fourth proportional to 229,723.62, 316,972.13 and 134,211.86 is: 185,185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,723.62 : 316,972.13 = 134,211.86 : x
  2. Step 2: Convert to fraction form
    229,723.62/316,972.13 = 134,211.86/x
  3. Step 3: Cross multiply
    229,723.62x = 316,972.13 × 134,211.86
  4. Step 4: Simplify right side
    229,723.62x = 42,541,419,135.46
  5. Step 5: Solve for x
    x = 42,541,419,135.46/229,723.62
  6. Step 6: Final answer
    x = 185,185.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.