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Finding the Fourth Proportional to 208,714.52, 313,046.25 and 88,819.65

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Solution

The fourth proportional to 208,714.52, 313,046.25 and 88,819.65 is: 133,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,714.52 : 313,046.25 = 88,819.65 : x
  2. Step 2: Convert to fraction form
    208,714.52/313,046.25 = 88,819.65/x
  3. Step 3: Cross multiply
    208,714.52x = 313,046.25 × 88,819.65
  4. Step 4: Simplify right side
    208,714.52x = 27,804,658,358.81
  5. Step 5: Solve for x
    x = 27,804,658,358.81/208,714.52
  6. Step 6: Final answer
    x = 133,218.61

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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.