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Finding the Fourth Proportional to 301,079.20, 451,618.80 and 189,104.80

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Solution

The fourth proportional to 301,079.20, 451,618.80 and 189,104.80 is: 283,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,079.20 : 451,618.80 = 189,104.80 : x
  2. Step 2: Convert to fraction form
    301,079.20/451,618.80 = 189,104.80/x
  3. Step 3: Cross multiply
    301,079.20x = 451,618.80 × 189,104.80
  4. Step 4: Simplify right side
    301,079.20x = 85,403,282,850.24
  5. Step 5: Solve for x
    x = 85,403,282,850.24/301,079.20
  6. Step 6: Final answer
    x = 283,657.20

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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.