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Finding the Fourth Proportional to 208,612.69, 312,932.24 and 80,590.03

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Solution

The fourth proportional to 208,612.69, 312,932.24 and 80,590.03 is: 120,890.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,612.69 : 312,932.24 = 80,590.03 : x
  2. Step 2: Convert to fraction form
    208,612.69/312,932.24 = 80,590.03/x
  3. Step 3: Cross multiply
    208,612.69x = 312,932.24 × 80,590.03
  4. Step 4: Simplify right side
    208,612.69x = 25,219,218,609.57
  5. Step 5: Solve for x
    x = 25,219,218,609.57/208,612.69
  6. Step 6: Final answer
    x = 120,890.15

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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.