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Finding the Fourth Proportional to 206,280.80, 309,421.20 and 164,808.80

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Solution

The fourth proportional to 206,280.80, 309,421.20 and 164,808.80 is: 247,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,280.80 : 309,421.20 = 164,808.80 : x
  2. Step 2: Convert to fraction form
    206,280.80/309,421.20 = 164,808.80/x
  3. Step 3: Cross multiply
    206,280.80x = 309,421.20 × 164,808.80
  4. Step 4: Simplify right side
    206,280.80x = 50,995,336,666.56
  5. Step 5: Solve for x
    x = 50,995,336,666.56/206,280.80
  6. Step 6: Final answer
    x = 247,213.20

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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.