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Finding the Fourth Proportional to 159,872.80, 240,165.60 and 133,628.80

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Solution

The fourth proportional to 159,872.80, 240,165.60 and 133,628.80 is: 200,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,872.80 : 240,165.60 = 133,628.80 : x
  2. Step 2: Convert to fraction form
    159,872.80/240,165.60 = 133,628.80/x
  3. Step 3: Cross multiply
    159,872.80x = 240,165.60 × 133,628.80
  4. Step 4: Simplify right side
    159,872.80x = 32,093,040,929.28
  5. Step 5: Solve for x
    x = 32,093,040,929.28/159,872.80
  6. Step 6: Final answer
    x = 200,741.09

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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.