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Finding the Fourth Proportional to 218,023.60, 327,132.60 and 77,882.80

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Solution

The fourth proportional to 218,023.60, 327,132.60 and 77,882.80 is: 116,858.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,023.60 : 327,132.60 = 77,882.80 : x
  2. Step 2: Convert to fraction form
    218,023.60/327,132.60 = 77,882.80/x
  3. Step 3: Cross multiply
    218,023.60x = 327,132.60 × 77,882.80
  4. Step 4: Simplify right side
    218,023.60x = 25,478,002,859.28
  5. Step 5: Solve for x
    x = 25,478,002,859.28/218,023.60
  6. Step 6: Final answer
    x = 116,858.92

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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.