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Finding the Fourth Proportional to 154,132, 231,198.04 and 43,324

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Solution

The fourth proportional to 154,132, 231,198.04 and 43,324 is: 64,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,132 : 231,198.04 = 43,324 : x
  2. Step 2: Convert to fraction form
    154,132/231,198.04 = 43,324/x
  3. Step 3: Cross multiply
    154,132x = 231,198.04 × 43,324
  4. Step 4: Simplify right side
    154,132x = 10,016,423,884.96
  5. Step 5: Solve for x
    x = 10,016,423,884.96/154,132
  6. Step 6: Final answer
    x = 64,986.01

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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.