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Finding the Fourth Proportional to 218,462.60, 327,704.70 and 113,486.60

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Solution

The fourth proportional to 218,462.60, 327,704.70 and 113,486.60 is: 170,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,462.60 : 327,704.70 = 113,486.60 : x
  2. Step 2: Convert to fraction form
    218,462.60/327,704.70 = 113,486.60/x
  3. Step 3: Cross multiply
    218,462.60x = 327,704.70 × 113,486.60
  4. Step 4: Simplify right side
    218,462.60x = 37,190,092,207.02
  5. Step 5: Solve for x
    x = 37,190,092,207.02/218,462.60
  6. Step 6: Final answer
    x = 170,235.51

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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.