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Finding the Fourth Proportional to 120,642.93, 180,924.77 and 40,659.44

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Solution

The fourth proportional to 120,642.93, 180,924.77 and 40,659.44 is: 60,975.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,642.93 : 180,924.77 = 40,659.44 : x
  2. Step 2: Convert to fraction form
    120,642.93/180,924.77 = 40,659.44/x
  3. Step 3: Cross multiply
    120,642.93x = 180,924.77 × 40,659.44
  4. Step 4: Simplify right side
    120,642.93x = 7,356,299,027.35
  5. Step 5: Solve for x
    x = 7,356,299,027.35/120,642.93
  6. Step 6: Final answer
    x = 60,975.80

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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.