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Finding the Fourth Proportional to 132,993, 199,489.50 and 67,329

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Solution

The fourth proportional to 132,993, 199,489.50 and 67,329 is: 100,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,993 : 199,489.50 = 67,329 : x
  2. Step 2: Convert to fraction form
    132,993/199,489.50 = 67,329/x
  3. Step 3: Cross multiply
    132,993x = 199,489.50 × 67,329
  4. Step 4: Simplify right side
    132,993x = 13,431,428,545.50
  5. Step 5: Solve for x
    x = 13,431,428,545.50/132,993
  6. Step 6: Final answer
    x = 100,993.50

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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.