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Finding the Fourth Proportional to 229,414.74, 316,642.98 and 127,475.24

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Solution

The fourth proportional to 229,414.74, 316,642.98 and 127,475.24 is: 175,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,414.74 : 316,642.98 = 127,475.24 : x
  2. Step 2: Convert to fraction form
    229,414.74/316,642.98 = 127,475.24/x
  3. Step 3: Cross multiply
    229,414.74x = 316,642.98 × 127,475.24
  4. Step 4: Simplify right side
    229,414.74x = 40,364,140,661.42
  5. Step 5: Solve for x
    x = 40,364,140,661.42/229,414.74
  6. Step 6: Final answer
    x = 175,943.97

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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.