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Finding the Fourth Proportional to 206,551.52, 309,838.80 and 58,796

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Solution

The fourth proportional to 206,551.52, 309,838.80 and 58,796 is: 88,197.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,551.52 : 309,838.80 = 58,796 : x
  2. Step 2: Convert to fraction form
    206,551.52/309,838.80 = 58,796/x
  3. Step 3: Cross multiply
    206,551.52x = 309,838.80 × 58,796
  4. Step 4: Simplify right side
    206,551.52x = 18,217,282,084.80
  5. Step 5: Solve for x
    x = 18,217,282,084.80/206,551.52
  6. Step 6: Final answer
    x = 88,197.28

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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.