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Finding the Fourth Proportional to 264,643.29, 396,964.13 and 106,869.87

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Solution

The fourth proportional to 264,643.29, 396,964.13 and 106,869.87 is: 160,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,643.29 : 396,964.13 = 106,869.87 : x
  2. Step 2: Convert to fraction form
    264,643.29/396,964.13 = 106,869.87/x
  3. Step 3: Cross multiply
    264,643.29x = 396,964.13 × 106,869.87
  4. Step 4: Simplify right side
    264,643.29x = 42,423,504,433.41
  5. Step 5: Solve for x
    x = 42,423,504,433.41/264,643.29
  6. Step 6: Final answer
    x = 160,304.48

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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.