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Finding the Fourth Proportional to 120,368.30, 180,441.87 and 41,463.77

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Solution

The fourth proportional to 120,368.30, 180,441.87 and 41,463.77 is: 62,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,368.30 : 180,441.87 = 41,463.77 : x
  2. Step 2: Convert to fraction form
    120,368.30/180,441.87 = 41,463.77/x
  3. Step 3: Cross multiply
    120,368.30x = 180,441.87 × 41,463.77
  4. Step 4: Simplify right side
    120,368.30x = 7,481,799,293.84
  5. Step 5: Solve for x
    x = 7,481,799,293.84/120,368.30
  6. Step 6: Final answer
    x = 62,157.56

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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.