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Finding the Fourth Proportional to 218,399.83, 327,587.42 and 96,785.34

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Solution

The fourth proportional to 218,399.83, 327,587.42 and 96,785.34 is: 145,172.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,399.83 : 327,587.42 = 96,785.34 : x
  2. Step 2: Convert to fraction form
    218,399.83/327,587.42 = 96,785.34/x
  3. Step 3: Cross multiply
    218,399.83x = 327,587.42 × 96,785.34
  4. Step 4: Simplify right side
    218,399.83x = 31,705,659,340.50
  5. Step 5: Solve for x
    x = 31,705,659,340.50/218,399.83
  6. Step 6: Final answer
    x = 145,172.55

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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.