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Finding the Fourth Proportional to 229,114.64, 316,169.92 and 127,144.55

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Solution

The fourth proportional to 229,114.64, 316,169.92 and 127,144.55 is: 175,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,114.64 : 316,169.92 = 127,144.55 : x
  2. Step 2: Convert to fraction form
    229,114.64/316,169.92 = 127,144.55/x
  3. Step 3: Cross multiply
    229,114.64x = 316,169.92 × 127,144.55
  4. Step 4: Simplify right side
    229,114.64x = 40,199,282,201.94
  5. Step 5: Solve for x
    x = 40,199,282,201.94/229,114.64
  6. Step 6: Final answer
    x = 175,454.88

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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.