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Finding the Fourth Proportional to 159,729.54, 239,568.90 and 53,104.63

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Solution

The fourth proportional to 159,729.54, 239,568.90 and 53,104.63 is: 79,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,729.54 : 239,568.90 = 53,104.63 : x
  2. Step 2: Convert to fraction form
    159,729.54/239,568.90 = 53,104.63/x
  3. Step 3: Cross multiply
    159,729.54x = 239,568.90 × 53,104.63
  4. Step 4: Simplify right side
    159,729.54x = 12,722,217,794.01
  5. Step 5: Solve for x
    x = 12,722,217,794.01/159,729.54
  6. Step 6: Final answer
    x = 79,648.50

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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.