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Finding the Fourth Proportional to 204,003.90, 306,005.85 and 156,764.70

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Solution

The fourth proportional to 204,003.90, 306,005.85 and 156,764.70 is: 235,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,003.90 : 306,005.85 = 156,764.70 : x
  2. Step 2: Convert to fraction form
    204,003.90/306,005.85 = 156,764.70/x
  3. Step 3: Cross multiply
    204,003.90x = 306,005.85 × 156,764.70
  4. Step 4: Simplify right side
    204,003.90x = 47,970,915,273.50
  5. Step 5: Solve for x
    x = 47,970,915,273.50/204,003.90
  6. Step 6: Final answer
    x = 235,147.05

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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.