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Finding the Fourth Proportional to 206,816.60, 288,952.75 and 206,816.60

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Solution

The fourth proportional to 206,816.60, 288,952.75 and 206,816.60 is: 288,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,816.60 : 288,952.75 = 206,816.60 : x
  2. Step 2: Convert to fraction form
    206,816.60/288,952.75 = 206,816.60/x
  3. Step 3: Cross multiply
    206,816.60x = 288,952.75 × 206,816.60
  4. Step 4: Simplify right side
    206,816.60x = 59,760,225,315.65
  5. Step 5: Solve for x
    x = 59,760,225,315.65/206,816.60
  6. Step 6: Final answer
    x = 288,952.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.