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Finding the Fourth Proportional to 132,882.25, 199,324.10 and 34,386.25

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Solution

The fourth proportional to 132,882.25, 199,324.10 and 34,386.25 is: 51,579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,882.25 : 199,324.10 = 34,386.25 : x
  2. Step 2: Convert to fraction form
    132,882.25/199,324.10 = 34,386.25/x
  3. Step 3: Cross multiply
    132,882.25x = 199,324.10 × 34,386.25
  4. Step 4: Simplify right side
    132,882.25x = 6,854,008,333.63
  5. Step 5: Solve for x
    x = 6,854,008,333.63/132,882.25
  6. Step 6: Final answer
    x = 51,579.56

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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.