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Finding the Fourth Proportional to 257,954.68, 386,474.19 and 107,864.11

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Solution

The fourth proportional to 257,954.68, 386,474.19 and 107,864.11 is: 161,604.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,954.68 : 386,474.19 = 107,864.11 : x
  2. Step 2: Convert to fraction form
    257,954.68/386,474.19 = 107,864.11/x
  3. Step 3: Cross multiply
    257,954.68x = 386,474.19 × 107,864.11
  4. Step 4: Simplify right side
    257,954.68x = 41,686,694,542.32
  5. Step 5: Solve for x
    x = 41,686,694,542.32/257,954.68
  6. Step 6: Final answer
    x = 161,604.72

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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.