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Finding the Fourth Proportional to 214,793.70, 322,165.86 and 57,034.50

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Solution

The fourth proportional to 214,793.70, 322,165.86 and 57,034.50 is: 85,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,793.70 : 322,165.86 = 57,034.50 : x
  2. Step 2: Convert to fraction form
    214,793.70/322,165.86 = 57,034.50/x
  3. Step 3: Cross multiply
    214,793.70x = 322,165.86 × 57,034.50
  4. Step 4: Simplify right side
    214,793.70x = 18,374,568,742.17
  5. Step 5: Solve for x
    x = 18,374,568,742.17/214,793.70
  6. Step 6: Final answer
    x = 85,545.19

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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.