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Finding the Fourth Proportional to 229,422.72, 316,571.04 and 127,440.48

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Solution

The fourth proportional to 229,422.72, 316,571.04 and 127,440.48 is: 175,849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,422.72 : 316,571.04 = 127,440.48 : x
  2. Step 2: Convert to fraction form
    229,422.72/316,571.04 = 127,440.48/x
  3. Step 3: Cross multiply
    229,422.72x = 316,571.04 × 127,440.48
  4. Step 4: Simplify right side
    229,422.72x = 40,343,965,291.70
  5. Step 5: Solve for x
    x = 40,343,965,291.70/229,422.72
  6. Step 6: Final answer
    x = 175,849.91

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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.