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Finding the Fourth Proportional to 172,346.60, 258,714.30 and 133,077.80

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Solution

The fourth proportional to 172,346.60, 258,714.30 and 133,077.80 is: 199,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,346.60 : 258,714.30 = 133,077.80 : x
  2. Step 2: Convert to fraction form
    172,346.60/258,714.30 = 133,077.80/x
  3. Step 3: Cross multiply
    172,346.60x = 258,714.30 × 133,077.80
  4. Step 4: Simplify right side
    172,346.60x = 34,429,129,872.54
  5. Step 5: Solve for x
    x = 34,429,129,872.54/172,346.60
  6. Step 6: Final answer
    x = 199,766.81

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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.