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Finding the Fourth Proportional to 229,540.88, 316,766.14 and 127,563.12

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Solution

The fourth proportional to 229,540.88, 316,766.14 and 127,563.12 is: 176,036.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,540.88 : 316,766.14 = 127,563.12 : x
  2. Step 2: Convert to fraction form
    229,540.88/316,766.14 = 127,563.12/x
  3. Step 3: Cross multiply
    229,540.88x = 316,766.14 × 127,563.12
  4. Step 4: Simplify right side
    229,540.88x = 40,407,676,809.85
  5. Step 5: Solve for x
    x = 40,407,676,809.85/229,540.88
  6. Step 6: Final answer
    x = 176,036.95

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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.