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Finding the Fourth Proportional to 221,711.60, 332,567.40 and 133,065.20

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Solution

The fourth proportional to 221,711.60, 332,567.40 and 133,065.20 is: 199,597.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,711.60 : 332,567.40 = 133,065.20 : x
  2. Step 2: Convert to fraction form
    221,711.60/332,567.40 = 133,065.20/x
  3. Step 3: Cross multiply
    221,711.60x = 332,567.40 × 133,065.20
  4. Step 4: Simplify right side
    221,711.60x = 44,253,147,594.48
  5. Step 5: Solve for x
    x = 44,253,147,594.48/221,711.60
  6. Step 6: Final answer
    x = 199,597.80

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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.