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Finding the Fourth Proportional to 206,357.44, 309,650.72 and 111,585.28

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Solution

The fourth proportional to 206,357.44, 309,650.72 and 111,585.28 is: 167,439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,357.44 : 309,650.72 = 111,585.28 : x
  2. Step 2: Convert to fraction form
    206,357.44/309,650.72 = 111,585.28/x
  3. Step 3: Cross multiply
    206,357.44x = 309,650.72 × 111,585.28
  4. Step 4: Simplify right side
    206,357.44x = 34,552,462,293.40
  5. Step 5: Solve for x
    x = 34,552,462,293.40/206,357.44
  6. Step 6: Final answer
    x = 167,439.87

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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.