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Finding the Fourth Proportional to 120,917.82, 181,377.15 and 36,678.71

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Solution

The fourth proportional to 120,917.82, 181,377.15 and 36,678.71 is: 55,018.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,917.82 : 181,377.15 = 36,678.71 : x
  2. Step 2: Convert to fraction form
    120,917.82/181,377.15 = 36,678.71/x
  3. Step 3: Cross multiply
    120,917.82x = 181,377.15 × 36,678.71
  4. Step 4: Simplify right side
    120,917.82x = 6,652,678,841.05
  5. Step 5: Solve for x
    x = 6,652,678,841.05/120,917.82
  6. Step 6: Final answer
    x = 55,018.19

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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.