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Finding the Fourth Proportional to 132,794.05, 199,046.12 and 65,372.49

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Solution

The fourth proportional to 132,794.05, 199,046.12 and 65,372.49 is: 97,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,794.05 : 199,046.12 = 65,372.49 : x
  2. Step 2: Convert to fraction form
    132,794.05/199,046.12 = 65,372.49/x
  3. Step 3: Cross multiply
    132,794.05x = 199,046.12 × 65,372.49
  4. Step 4: Simplify right side
    132,794.05x = 13,012,139,882.47
  5. Step 5: Solve for x
    x = 13,012,139,882.47/132,794.05
  6. Step 6: Final answer
    x = 97,987.37

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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.