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Finding the Fourth Proportional to 120,717.20, 181,074.90 and 36,477.20

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Solution

The fourth proportional to 120,717.20, 181,074.90 and 36,477.20 is: 54,715.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,717.20 : 181,074.90 = 36,477.20 : x
  2. Step 2: Convert to fraction form
    120,717.20/181,074.90 = 36,477.20/x
  3. Step 3: Cross multiply
    120,717.20x = 181,074.90 × 36,477.20
  4. Step 4: Simplify right side
    120,717.20x = 6,605,105,342.28
  5. Step 5: Solve for x
    x = 6,605,105,342.28/120,717.20
  6. Step 6: Final answer
    x = 54,715.53

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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.