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Finding the Fourth Proportional to 154,704.54, 232,073.01 and 65,967.42

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Solution

The fourth proportional to 154,704.54, 232,073.01 and 65,967.42 is: 98,958.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,704.54 : 232,073.01 = 65,967.42 : x
  2. Step 2: Convert to fraction form
    154,704.54/232,073.01 = 65,967.42/x
  3. Step 3: Cross multiply
    154,704.54x = 232,073.01 × 65,967.42
  4. Step 4: Simplify right side
    154,704.54x = 15,309,257,721.33
  5. Step 5: Solve for x
    x = 15,309,257,721.33/154,704.54
  6. Step 6: Final answer
    x = 98,958.04

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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.