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Finding the Fourth Proportional to 229,174.38, 316,258.35 and 127,197.21

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Solution

The fourth proportional to 229,174.38, 316,258.35 and 127,197.21 is: 175,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,174.38 : 316,258.35 = 127,197.21 : x
  2. Step 2: Convert to fraction form
    229,174.38/316,258.35 = 127,197.21/x
  3. Step 3: Cross multiply
    229,174.38x = 316,258.35 × 127,197.21
  4. Step 4: Simplify right side
    229,174.38x = 40,227,179,759.20
  5. Step 5: Solve for x
    x = 40,227,179,759.20/229,174.38
  6. Step 6: Final answer
    x = 175,530.88

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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.