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Finding the Fourth Proportional to 136,403.39, 188,229.19 and 75,137.57

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Solution

The fourth proportional to 136,403.39, 188,229.19 and 75,137.57 is: 103,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,403.39 : 188,229.19 = 75,137.57 : x
  2. Step 2: Convert to fraction form
    136,403.39/188,229.19 = 75,137.57/x
  3. Step 3: Cross multiply
    136,403.39x = 188,229.19 × 75,137.57
  4. Step 4: Simplify right side
    136,403.39x = 14,143,083,939.67
  5. Step 5: Solve for x
    x = 14,143,083,939.67/136,403.39
  6. Step 6: Final answer
    x = 103,685.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.