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Finding the Fourth Proportional to 218,532.80, 327,619.20 and 98,597.60

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Solution

The fourth proportional to 218,532.80, 327,619.20 and 98,597.60 is: 147,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,532.80 : 327,619.20 = 98,597.60 : x
  2. Step 2: Convert to fraction form
    218,532.80/327,619.20 = 98,597.60/x
  3. Step 3: Cross multiply
    218,532.80x = 327,619.20 × 98,597.60
  4. Step 4: Simplify right side
    218,532.80x = 32,302,466,833.92
  5. Step 5: Solve for x
    x = 32,302,466,833.92/218,532.80
  6. Step 6: Final answer
    x = 147,815.19

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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.