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Finding the Fourth Proportional to 218,351.40, 327,699.90 and 85,295.40

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Solution

The fourth proportional to 218,351.40, 327,699.90 and 85,295.40 is: 128,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,351.40 : 327,699.90 = 85,295.40 : x
  2. Step 2: Convert to fraction form
    218,351.40/327,699.90 = 85,295.40/x
  3. Step 3: Cross multiply
    218,351.40x = 327,699.90 × 85,295.40
  4. Step 4: Simplify right side
    218,351.40x = 27,951,294,050.46
  5. Step 5: Solve for x
    x = 27,951,294,050.46/218,351.40
  6. Step 6: Final answer
    x = 128,010.60

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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.