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Finding the Fourth Proportional to 221,886.40, 332,635.20 and 133,045.60

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Solution

The fourth proportional to 221,886.40, 332,635.20 and 133,045.60 is: 199,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,886.40 : 332,635.20 = 133,045.60 : x
  2. Step 2: Convert to fraction form
    221,886.40/332,635.20 = 133,045.60/x
  3. Step 3: Cross multiply
    221,886.40x = 332,635.20 × 133,045.60
  4. Step 4: Simplify right side
    221,886.40x = 44,255,649,765.12
  5. Step 5: Solve for x
    x = 44,255,649,765.12/221,886.40
  6. Step 6: Final answer
    x = 199,451.84

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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.