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Finding the Fourth Proportional to 120,808.80, 181,213.20 and 119,059.20

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Solution

The fourth proportional to 120,808.80, 181,213.20 and 119,059.20 is: 178,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,808.80 : 181,213.20 = 119,059.20 : x
  2. Step 2: Convert to fraction form
    120,808.80/181,213.20 = 119,059.20/x
  3. Step 3: Cross multiply
    120,808.80x = 181,213.20 × 119,059.20
  4. Step 4: Simplify right side
    120,808.80x = 21,575,098,621.44
  5. Step 5: Solve for x
    x = 21,575,098,621.44/120,808.80
  6. Step 6: Final answer
    x = 178,588.80

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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.