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Finding the Fourth Proportional to 120,983.93, 181,512.81 and 61,861.12

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Solution

The fourth proportional to 120,983.93, 181,512.81 and 61,861.12 is: 92,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,983.93 : 181,512.81 = 61,861.12 : x
  2. Step 2: Convert to fraction form
    120,983.93/181,512.81 = 61,861.12/x
  3. Step 3: Cross multiply
    120,983.93x = 181,512.81 × 61,861.12
  4. Step 4: Simplify right side
    120,983.93x = 11,228,585,720.95
  5. Step 5: Solve for x
    x = 11,228,585,720.95/120,983.93
  6. Step 6: Final answer
    x = 92,810.56

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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.