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Finding the Fourth Proportional to 217,155.84, 325,777.29 and 75,006.33

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Solution

The fourth proportional to 217,155.84, 325,777.29 and 75,006.33 is: 112,524.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,155.84 : 325,777.29 = 75,006.33 : x
  2. Step 2: Convert to fraction form
    217,155.84/325,777.29 = 75,006.33/x
  3. Step 3: Cross multiply
    217,155.84x = 325,777.29 × 75,006.33
  4. Step 4: Simplify right side
    217,155.84x = 24,435,358,920.25
  5. Step 5: Solve for x
    x = 24,435,358,920.25/217,155.84
  6. Step 6: Final answer
    x = 112,524.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.