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Finding the Fourth Proportional to 206,797.85, 310,462.41 and 159,443.03

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Solution

The fourth proportional to 206,797.85, 310,462.41 and 159,443.03 is: 239,369.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,797.85 : 310,462.41 = 159,443.03 : x
  2. Step 2: Convert to fraction form
    206,797.85/310,462.41 = 159,443.03/x
  3. Step 3: Cross multiply
    206,797.85x = 310,462.41 × 159,443.03
  4. Step 4: Simplify right side
    206,797.85x = 49,501,065,799.19
  5. Step 5: Solve for x
    x = 49,501,065,799.19/206,797.85
  6. Step 6: Final answer
    x = 239,369.35

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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.