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Finding the Fourth Proportional to 218,537.60, 327,817.20 and 113,561.60

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Solution

The fourth proportional to 218,537.60, 327,817.20 and 113,561.60 is: 170,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,537.60 : 327,817.20 = 113,561.60 : x
  2. Step 2: Convert to fraction form
    218,537.60/327,817.20 = 113,561.60/x
  3. Step 3: Cross multiply
    218,537.60x = 327,817.20 × 113,561.60
  4. Step 4: Simplify right side
    218,537.60x = 37,227,445,739.52
  5. Step 5: Solve for x
    x = 37,227,445,739.52/218,537.60
  6. Step 6: Final answer
    x = 170,348.01

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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.