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Finding the Fourth Proportional to 133,791.68, 200,293.85 and 89,308.10

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Solution

The fourth proportional to 133,791.68, 200,293.85 and 89,308.10 is: 133,699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,791.68 : 200,293.85 = 89,308.10 : x
  2. Step 2: Convert to fraction form
    133,791.68/200,293.85 = 89,308.10/x
  3. Step 3: Cross multiply
    133,791.68x = 200,293.85 × 89,308.10
  4. Step 4: Simplify right side
    133,791.68x = 17,887,862,183.72
  5. Step 5: Solve for x
    x = 17,887,862,183.72/133,791.68
  6. Step 6: Final answer
    x = 133,699.37

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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.