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Finding the Fourth Proportional to 206,024.80, 309,085.12 and 63,862.54

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Solution

The fourth proportional to 206,024.80, 309,085.12 and 63,862.54 is: 95,808.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,024.80 : 309,085.12 = 63,862.54 : x
  2. Step 2: Convert to fraction form
    206,024.80/309,085.12 = 63,862.54/x
  3. Step 3: Cross multiply
    206,024.80x = 309,085.12 × 63,862.54
  4. Step 4: Simplify right side
    206,024.80x = 19,738,960,839.40
  5. Step 5: Solve for x
    x = 19,738,960,839.40/206,024.80
  6. Step 6: Final answer
    x = 95,808.66

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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.