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Finding the Fourth Proportional to 120,952.56, 181,447.68 and 61,756.20

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Solution

The fourth proportional to 120,952.56, 181,447.68 and 61,756.20 is: 92,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,952.56 : 181,447.68 = 61,756.20 : x
  2. Step 2: Convert to fraction form
    120,952.56/181,447.68 = 61,756.20/x
  3. Step 3: Cross multiply
    120,952.56x = 181,447.68 × 61,756.20
  4. Step 4: Simplify right side
    120,952.56x = 11,205,519,215.62
  5. Step 5: Solve for x
    x = 11,205,519,215.62/120,952.56
  6. Step 6: Final answer
    x = 92,643.92

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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.