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Finding the Fourth Proportional to 229,165.38, 316,243.46 and 127,184.86

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Solution

The fourth proportional to 229,165.38, 316,243.46 and 127,184.86 is: 175,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,165.38 : 316,243.46 = 127,184.86 : x
  2. Step 2: Convert to fraction form
    229,165.38/316,243.46 = 127,184.86/x
  3. Step 3: Cross multiply
    229,165.38x = 316,243.46 × 127,184.86
  4. Step 4: Simplify right side
    229,165.38x = 40,221,380,186.02
  5. Step 5: Solve for x
    x = 40,221,380,186.02/229,165.38
  6. Step 6: Final answer
    x = 175,512.46

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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.