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Finding the Fourth Proportional to 206,083.80, 309,125.70 and 183,922.20

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Solution

The fourth proportional to 206,083.80, 309,125.70 and 183,922.20 is: 275,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,083.80 : 309,125.70 = 183,922.20 : x
  2. Step 2: Convert to fraction form
    206,083.80/309,125.70 = 183,922.20/x
  3. Step 3: Cross multiply
    206,083.80x = 309,125.70 × 183,922.20
  4. Step 4: Simplify right side
    206,083.80x = 56,855,078,820.54
  5. Step 5: Solve for x
    x = 56,855,078,820.54/206,083.80
  6. Step 6: Final answer
    x = 275,883.30

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1.5x scale

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.