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Finding the Fourth Proportional to 218,292.76, 327,439.22 and 98,209.48

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Solution

The fourth proportional to 218,292.76, 327,439.22 and 98,209.48 is: 147,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,292.76 : 327,439.22 = 98,209.48 : x
  2. Step 2: Convert to fraction form
    218,292.76/327,439.22 = 98,209.48/x
  3. Step 3: Cross multiply
    218,292.76x = 327,439.22 × 98,209.48
  4. Step 4: Simplify right side
    218,292.76x = 32,157,635,527.81
  5. Step 5: Solve for x
    x = 32,157,635,527.81/218,292.76
  6. Step 6: Final answer
    x = 147,314.26

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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.