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Finding the Fourth Proportional to 218,065.80, 327,098.70 and 93,419.40

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Solution

The fourth proportional to 218,065.80, 327,098.70 and 93,419.40 is: 140,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,065.80 : 327,098.70 = 93,419.40 : x
  2. Step 2: Convert to fraction form
    218,065.80/327,098.70 = 93,419.40/x
  3. Step 3: Cross multiply
    218,065.80x = 327,098.70 × 93,419.40
  4. Step 4: Simplify right side
    218,065.80x = 30,557,364,294.78
  5. Step 5: Solve for x
    x = 30,557,364,294.78/218,065.80
  6. Step 6: Final answer
    x = 140,129.10

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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.