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Finding the Fourth Proportional to 220,106.40, 329,770.80 and 195,223.20

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Solution

The fourth proportional to 220,106.40, 329,770.80 and 195,223.20 is: 292,489.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,106.40 : 329,770.80 = 195,223.20 : x
  2. Step 2: Convert to fraction form
    220,106.40/329,770.80 = 195,223.20/x
  3. Step 3: Cross multiply
    220,106.40x = 329,770.80 × 195,223.20
  4. Step 4: Simplify right side
    220,106.40x = 64,378,910,842.56
  5. Step 5: Solve for x
    x = 64,378,910,842.56/220,106.40
  6. Step 6: Final answer
    x = 292,489.95

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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.