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Finding the Fourth Proportional to 206,019.40, 309,000.30 and 65,792.20

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Solution

The fourth proportional to 206,019.40, 309,000.30 and 65,792.20 is: 98,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,019.40 : 309,000.30 = 65,792.20 : x
  2. Step 2: Convert to fraction form
    206,019.40/309,000.30 = 65,792.20/x
  3. Step 3: Cross multiply
    206,019.40x = 309,000.30 × 65,792.20
  4. Step 4: Simplify right side
    206,019.40x = 20,329,809,537.66
  5. Step 5: Solve for x
    x = 20,329,809,537.66/206,019.40
  6. Step 6: Final answer
    x = 98,679.10

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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.