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Finding the Fourth Proportional to 222,002.60, 332,347.80 and 147,207.20

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Solution

The fourth proportional to 222,002.60, 332,347.80 and 147,207.20 is: 220,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,002.60 : 332,347.80 = 147,207.20 : x
  2. Step 2: Convert to fraction form
    222,002.60/332,347.80 = 147,207.20/x
  3. Step 3: Cross multiply
    222,002.60x = 332,347.80 × 147,207.20
  4. Step 4: Simplify right side
    222,002.60x = 48,923,989,064.16
  5. Step 5: Solve for x
    x = 48,923,989,064.16/222,002.60
  6. Step 6: Final answer
    x = 220,375.75

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1.5x scale

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.