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Finding the Fourth Proportional to 120,998.92, 181,477.84 and 32,261.80

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Solution

The fourth proportional to 120,998.92, 181,477.84 and 32,261.80 is: 48,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,998.92 : 181,477.84 = 32,261.80 : x
  2. Step 2: Convert to fraction form
    120,998.92/181,477.84 = 32,261.80/x
  3. Step 3: Cross multiply
    120,998.92x = 181,477.84 × 32,261.80
  4. Step 4: Simplify right side
    120,998.92x = 5,854,801,778.51
  5. Step 5: Solve for x
    x = 5,854,801,778.51/120,998.92
  6. Step 6: Final answer
    x = 48,387.22

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1.5x scale

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.