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Finding the Fourth Proportional to 206,584.80, 309,877.20 and 177,060.30

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Solution

The fourth proportional to 206,584.80, 309,877.20 and 177,060.30 is: 265,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,584.80 : 309,877.20 = 177,060.30 : x
  2. Step 2: Convert to fraction form
    206,584.80/309,877.20 = 177,060.30/x
  3. Step 3: Cross multiply
    206,584.80x = 309,877.20 × 177,060.30
  4. Step 4: Simplify right side
    206,584.80x = 54,866,949,995.16
  5. Step 5: Solve for x
    x = 54,866,949,995.16/206,584.80
  6. Step 6: Final answer
    x = 265,590.45

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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.