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Finding the Fourth Proportional to 218,073.60, 327,121.20 and 113,097.60

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Solution

The fourth proportional to 218,073.60, 327,121.20 and 113,097.60 is: 169,652.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,073.60 : 327,121.20 = 113,097.60 : x
  2. Step 2: Convert to fraction form
    218,073.60/327,121.20 = 113,097.60/x
  3. Step 3: Cross multiply
    218,073.60x = 327,121.20 × 113,097.60
  4. Step 4: Simplify right side
    218,073.60x = 36,996,622,629.12
  5. Step 5: Solve for x
    x = 36,996,622,629.12/218,073.60
  6. Step 6: Final answer
    x = 169,652.00

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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.