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Finding the Fourth Proportional to 206,564.80, 309,847.20 and 66,337.60

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Solution

The fourth proportional to 206,564.80, 309,847.20 and 66,337.60 is: 99,506.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,564.80 : 309,847.20 = 66,337.60 : x
  2. Step 2: Convert to fraction form
    206,564.80/309,847.20 = 66,337.60/x
  3. Step 3: Cross multiply
    206,564.80x = 309,847.20 × 66,337.60
  4. Step 4: Simplify right side
    206,564.80x = 20,554,519,614.72
  5. Step 5: Solve for x
    x = 20,554,519,614.72/206,564.80
  6. Step 6: Final answer
    x = 99,506.40

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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.