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Finding the Fourth Proportional to 218,107.16, 327,160.24 and 68,358.86

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Solution

The fourth proportional to 218,107.16, 327,160.24 and 68,358.86 is: 102,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,107.16 : 327,160.24 = 68,358.86 : x
  2. Step 2: Convert to fraction form
    218,107.16/327,160.24 = 68,358.86/x
  3. Step 3: Cross multiply
    218,107.16x = 327,160.24 × 68,358.86
  4. Step 4: Simplify right side
    218,107.16x = 22,364,299,066.13
  5. Step 5: Solve for x
    x = 22,364,299,066.13/218,107.16
  6. Step 6: Final answer
    x = 102,538.13

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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.