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Finding the Fourth Proportional to 229,514.40, 316,723.52 and 127,537.22

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Solution

The fourth proportional to 229,514.40, 316,723.52 and 127,537.22 is: 175,997.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,514.40 : 316,723.52 = 127,537.22 : x
  2. Step 2: Convert to fraction form
    229,514.40/316,723.52 = 127,537.22/x
  3. Step 3: Cross multiply
    229,514.40x = 316,723.52 × 127,537.22
  4. Step 4: Simplify right side
    229,514.40x = 40,394,035,028.11
  5. Step 5: Solve for x
    x = 40,394,035,028.11/229,514.40
  6. Step 6: Final answer
    x = 175,997.82

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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.