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Finding the Fourth Proportional to 120,992.40, 181,294.20 and 101,163.60

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Solution

The fourth proportional to 120,992.40, 181,294.20 and 101,163.60 is: 151,582.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,992.40 : 181,294.20 = 101,163.60 : x
  2. Step 2: Convert to fraction form
    120,992.40/181,294.20 = 101,163.60/x
  3. Step 3: Cross multiply
    120,992.40x = 181,294.20 × 101,163.60
  4. Step 4: Simplify right side
    120,992.40x = 18,340,373,931.12
  5. Step 5: Solve for x
    x = 18,340,373,931.12/120,992.40
  6. Step 6: Final answer
    x = 151,582.86

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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.