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Finding the Fourth Proportional to 206,567.60, 309,851.40 and 192,570.80

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Solution

The fourth proportional to 206,567.60, 309,851.40 and 192,570.80 is: 288,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,567.60 : 309,851.40 = 192,570.80 : x
  2. Step 2: Convert to fraction form
    206,567.60/309,851.40 = 192,570.80/x
  3. Step 3: Cross multiply
    206,567.60x = 309,851.40 × 192,570.80
  4. Step 4: Simplify right side
    206,567.60x = 59,668,331,979.12
  5. Step 5: Solve for x
    x = 59,668,331,979.12/206,567.60
  6. Step 6: Final answer
    x = 288,856.20

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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.