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Finding the Fourth Proportional to 229,013.78, 316,040.92 and 127,045.91

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Solution

The fourth proportional to 229,013.78, 316,040.92 and 127,045.91 is: 175,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,013.78 : 316,040.92 = 127,045.91 : x
  2. Step 2: Convert to fraction form
    229,013.78/316,040.92 = 127,045.91/x
  3. Step 3: Cross multiply
    229,013.78x = 316,040.92 × 127,045.91
  4. Step 4: Simplify right side
    229,013.78x = 40,151,706,751.12
  5. Step 5: Solve for x
    x = 40,151,706,751.12/229,013.78
  6. Step 6: Final answer
    x = 175,324.42

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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.