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Finding the Fourth Proportional to 221,920.90, 332,965.15 and 133,236.23

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Solution

The fourth proportional to 221,920.90, 332,965.15 and 133,236.23 is: 199,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,920.90 : 332,965.15 = 133,236.23 : x
  2. Step 2: Convert to fraction form
    221,920.90/332,965.15 = 133,236.23/x
  3. Step 3: Cross multiply
    221,920.90x = 332,965.15 × 133,236.23
  4. Step 4: Simplify right side
    221,920.90x = 44,363,019,309.47
  5. Step 5: Solve for x
    x = 44,363,019,309.47/221,920.90
  6. Step 6: Final answer
    x = 199,904.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.