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Finding the Fourth Proportional to 181,382.38, 250,311.93 and 100,813.30

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Solution

The fourth proportional to 181,382.38, 250,311.93 and 100,813.30 is: 139,124.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,382.38 : 250,311.93 = 100,813.30 : x
  2. Step 2: Convert to fraction form
    181,382.38/250,311.93 = 100,813.30/x
  3. Step 3: Cross multiply
    181,382.38x = 250,311.93 × 100,813.30
  4. Step 4: Simplify right side
    181,382.38x = 25,234,771,692.67
  5. Step 5: Solve for x
    x = 25,234,771,692.67/181,382.38
  6. Step 6: Final answer
    x = 139,124.71

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Why These Related Problems?

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