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Finding the Fourth Proportional to 221,764.40, 332,646.60 and 204,657.20

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Solution

The fourth proportional to 221,764.40, 332,646.60 and 204,657.20 is: 306,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,764.40 : 332,646.60 = 204,657.20 : x
  2. Step 2: Convert to fraction form
    221,764.40/332,646.60 = 204,657.20/x
  3. Step 3: Cross multiply
    221,764.40x = 332,646.60 × 204,657.20
  4. Step 4: Simplify right side
    221,764.40x = 68,078,521,745.52
  5. Step 5: Solve for x
    x = 68,078,521,745.52/221,764.40
  6. Step 6: Final answer
    x = 306,985.80

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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.