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Finding the Fourth Proportional to 206,497.35, 309,343.51 and 116,264.25

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Solution

The fourth proportional to 206,497.35, 309,343.51 and 116,264.25 is: 174,169.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,497.35 : 309,343.51 = 116,264.25 : x
  2. Step 2: Convert to fraction form
    206,497.35/309,343.51 = 116,264.25/x
  3. Step 3: Cross multiply
    206,497.35x = 309,343.51 × 116,264.25
  4. Step 4: Simplify right side
    206,497.35x = 35,965,589,635.80
  5. Step 5: Solve for x
    x = 35,965,589,635.80/206,497.35
  6. Step 6: Final answer
    x = 174,169.74

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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.