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Finding the Fourth Proportional to 208,821.80, 312,714.30 and 167,349.80

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Solution

The fourth proportional to 208,821.80, 312,714.30 and 167,349.80 is: 250,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,821.80 : 312,714.30 = 167,349.80 : x
  2. Step 2: Convert to fraction form
    208,821.80/312,714.30 = 167,349.80/x
  3. Step 3: Cross multiply
    208,821.80x = 312,714.30 × 167,349.80
  4. Step 4: Simplify right side
    208,821.80x = 52,332,675,562.14
  5. Step 5: Solve for x
    x = 52,332,675,562.14/208,821.80
  6. Step 6: Final answer
    x = 250,609.25

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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.