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Finding the Fourth Proportional to 153,514.92, 229,939.08 and 74,463

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Solution

The fourth proportional to 153,514.92, 229,939.08 and 74,463 is: 111,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,514.92 : 229,939.08 = 74,463 : x
  2. Step 2: Convert to fraction form
    153,514.92/229,939.08 = 74,463/x
  3. Step 3: Cross multiply
    153,514.92x = 229,939.08 × 74,463
  4. Step 4: Simplify right side
    153,514.92x = 17,121,953,714.04
  5. Step 5: Solve for x
    x = 17,121,953,714.04/153,514.92
  6. Step 6: Final answer
    x = 111,532.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.