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Finding the Fourth Proportional to 229,527.38, 316,755.77 and 127,557.14

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Solution

The fourth proportional to 229,527.38, 316,755.77 and 127,557.14 is: 176,033.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,527.38 : 316,755.77 = 127,557.14 : x
  2. Step 2: Convert to fraction form
    229,527.38/316,755.77 = 127,557.14/x
  3. Step 3: Cross multiply
    229,527.38x = 316,755.77 × 127,557.14
  4. Step 4: Simplify right side
    229,527.38x = 40,404,459,461.91
  5. Step 5: Solve for x
    x = 40,404,459,461.91/229,527.38
  6. Step 6: Final answer
    x = 176,033.29

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Why These Related Problems?

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