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Finding the Fourth Proportional to 229,421.10, 316,605.42 and 127,456.14

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Solution

The fourth proportional to 229,421.10, 316,605.42 and 127,456.14 is: 175,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,421.10 : 316,605.42 = 127,456.14 : x
  2. Step 2: Convert to fraction form
    229,421.10/316,605.42 = 127,456.14/x
  3. Step 3: Cross multiply
    229,421.10x = 316,605.42 × 127,456.14
  4. Step 4: Simplify right side
    229,421.10x = 40,353,304,736.28
  5. Step 5: Solve for x
    x = 40,353,304,736.28/229,421.10
  6. Step 6: Final answer
    x = 175,891.86

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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.