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Finding the Fourth Proportional to 192,864.83, 289,343.43 and 80,482.52

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Solution

The fourth proportional to 192,864.83, 289,343.43 and 80,482.52 is: 120,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,864.83 : 289,343.43 = 80,482.52 : x
  2. Step 2: Convert to fraction form
    192,864.83/289,343.43 = 80,482.52/x
  3. Step 3: Cross multiply
    192,864.83x = 289,343.43 × 80,482.52
  4. Step 4: Simplify right side
    192,864.83x = 23,287,089,115.20
  5. Step 5: Solve for x
    x = 23,287,089,115.20/192,864.83
  6. Step 6: Final answer
    x = 120,743.06

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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.