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Finding the Fourth Proportional to 229,481.12, 316,692.60 and 127,514

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Solution

The fourth proportional to 229,481.12, 316,692.60 and 127,514 is: 175,974.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,481.12 : 316,692.60 = 127,514 : x
  2. Step 2: Convert to fraction form
    229,481.12/316,692.60 = 127,514/x
  3. Step 3: Cross multiply
    229,481.12x = 316,692.60 × 127,514
  4. Step 4: Simplify right side
    229,481.12x = 40,382,740,196.40
  5. Step 5: Solve for x
    x = 40,382,740,196.40/229,481.12
  6. Step 6: Final answer
    x = 175,974.13

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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.