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Finding the Fourth Proportional to 120,741.60, 181,112.40 and 32,008.80

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Solution

The fourth proportional to 120,741.60, 181,112.40 and 32,008.80 is: 48,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,741.60 : 181,112.40 = 32,008.80 : x
  2. Step 2: Convert to fraction form
    120,741.60/181,112.40 = 32,008.80/x
  3. Step 3: Cross multiply
    120,741.60x = 181,112.40 × 32,008.80
  4. Step 4: Simplify right side
    120,741.60x = 5,797,190,589.12
  5. Step 5: Solve for x
    x = 5,797,190,589.12/120,741.60
  6. Step 6: Final answer
    x = 48,013.20

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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.