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Finding the Fourth Proportional to 229,654.34, 316,812.57 and 149,107.13

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Solution

The fourth proportional to 229,654.34, 316,812.57 and 149,107.13 is: 205,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,654.34 : 316,812.57 = 149,107.13 : x
  2. Step 2: Convert to fraction form
    229,654.34/316,812.57 = 149,107.13/x
  3. Step 3: Cross multiply
    229,654.34x = 316,812.57 × 149,107.13
  4. Step 4: Simplify right side
    229,654.34x = 47,239,012,105.46
  5. Step 5: Solve for x
    x = 47,239,012,105.46/229,654.34
  6. Step 6: Final answer
    x = 205,696.14

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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.