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Finding the Fourth Proportional to 136,165.68, 204,249.90 and 41,411.22

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Solution

The fourth proportional to 136,165.68, 204,249.90 and 41,411.22 is: 62,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,165.68 : 204,249.90 = 41,411.22 : x
  2. Step 2: Convert to fraction form
    136,165.68/204,249.90 = 41,411.22/x
  3. Step 3: Cross multiply
    136,165.68x = 204,249.90 × 41,411.22
  4. Step 4: Simplify right side
    136,165.68x = 8,458,237,543.88
  5. Step 5: Solve for x
    x = 8,458,237,543.88/136,165.68
  6. Step 6: Final answer
    x = 62,117.25

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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.