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Finding the Fourth Proportional to 206,177.76, 309,305.52 and 65,898.72

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Solution

The fourth proportional to 206,177.76, 309,305.52 and 65,898.72 is: 98,860.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,177.76 : 309,305.52 = 65,898.72 : x
  2. Step 2: Convert to fraction form
    206,177.76/309,305.52 = 65,898.72/x
  3. Step 3: Cross multiply
    206,177.76x = 309,305.52 × 65,898.72
  4. Step 4: Simplify right side
    206,177.76x = 20,382,837,856.93
  5. Step 5: Solve for x
    x = 20,382,837,856.93/206,177.76
  6. Step 6: Final answer
    x = 98,860.51

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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.