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Finding the Fourth Proportional to 206,834.14, 310,174.59 and 73,679.02

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Solution

The fourth proportional to 206,834.14, 310,174.59 and 73,679.02 is: 110,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,834.14 : 310,174.59 = 73,679.02 : x
  2. Step 2: Convert to fraction form
    206,834.14/310,174.59 = 73,679.02/x
  3. Step 3: Cross multiply
    206,834.14x = 310,174.59 × 73,679.02
  4. Step 4: Simplify right side
    206,834.14x = 22,853,359,820.10
  5. Step 5: Solve for x
    x = 22,853,359,820.10/206,834.14
  6. Step 6: Final answer
    x = 110,491.24

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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.