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Finding the Fourth Proportional to 221,670.20, 332,505.30 and 133,023.80

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Solution

The fourth proportional to 221,670.20, 332,505.30 and 133,023.80 is: 199,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,670.20 : 332,505.30 = 133,023.80 : x
  2. Step 2: Convert to fraction form
    221,670.20/332,505.30 = 133,023.80/x
  3. Step 3: Cross multiply
    221,670.20x = 332,505.30 × 133,023.80
  4. Step 4: Simplify right side
    221,670.20x = 44,231,118,526.14
  5. Step 5: Solve for x
    x = 44,231,118,526.14/221,670.20
  6. Step 6: Final answer
    x = 199,535.70

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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.