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Finding the Fourth Proportional to 230,736.80, 346,105.20 and 106,320.80

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Solution

The fourth proportional to 230,736.80, 346,105.20 and 106,320.80 is: 159,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,736.80 : 346,105.20 = 106,320.80 : x
  2. Step 2: Convert to fraction form
    230,736.80/346,105.20 = 106,320.80/x
  3. Step 3: Cross multiply
    230,736.80x = 346,105.20 × 106,320.80
  4. Step 4: Simplify right side
    230,736.80x = 36,798,181,748.16
  5. Step 5: Solve for x
    x = 36,798,181,748.16/230,736.80
  6. Step 6: Final answer
    x = 159,481.20

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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.