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Finding the Fourth Proportional to 214,781.70, 322,147.86 and 57,022.50

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Solution

The fourth proportional to 214,781.70, 322,147.86 and 57,022.50 is: 85,527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,781.70 : 322,147.86 = 57,022.50 : x
  2. Step 2: Convert to fraction form
    214,781.70/322,147.86 = 57,022.50/x
  3. Step 3: Cross multiply
    214,781.70x = 322,147.86 × 57,022.50
  4. Step 4: Simplify right side
    214,781.70x = 18,369,676,346.85
  5. Step 5: Solve for x
    x = 18,369,676,346.85/214,781.70
  6. Step 6: Final answer
    x = 85,527.20

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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.