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Finding the Fourth Proportional to 120,873.40, 181,311.30 and 36,633.76

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Solution

The fourth proportional to 120,873.40, 181,311.30 and 36,633.76 is: 54,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,873.40 : 181,311.30 = 36,633.76 : x
  2. Step 2: Convert to fraction form
    120,873.40/181,311.30 = 36,633.76/x
  3. Step 3: Cross multiply
    120,873.40x = 181,311.30 × 36,633.76
  4. Step 4: Simplify right side
    120,873.40x = 6,642,114,649.49
  5. Step 5: Solve for x
    x = 6,642,114,649.49/120,873.40
  6. Step 6: Final answer
    x = 54,951.00

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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.