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Finding the Fourth Proportional to 221,434.40, 332,200.20 and 71,649.20

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Solution

The fourth proportional to 221,434.40, 332,200.20 and 71,649.20 is: 107,489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,434.40 : 332,200.20 = 71,649.20 : x
  2. Step 2: Convert to fraction form
    221,434.40/332,200.20 = 71,649.20/x
  3. Step 3: Cross multiply
    221,434.40x = 332,200.20 × 71,649.20
  4. Step 4: Simplify right side
    221,434.40x = 23,801,878,569.84
  5. Step 5: Solve for x
    x = 23,801,878,569.84/221,434.40
  6. Step 6: Final answer
    x = 107,489.53

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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.