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Finding the Fourth Proportional to 200,549.20, 300,823.80 and 177,998.80

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Solution

The fourth proportional to 200,549.20, 300,823.80 and 177,998.80 is: 266,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,549.20 : 300,823.80 = 177,998.80 : x
  2. Step 2: Convert to fraction form
    200,549.20/300,823.80 = 177,998.80/x
  3. Step 3: Cross multiply
    200,549.20x = 300,823.80 × 177,998.80
  4. Step 4: Simplify right side
    200,549.20x = 53,546,275,411.44
  5. Step 5: Solve for x
    x = 53,546,275,411.44/200,549.20
  6. Step 6: Final answer
    x = 266,998.20

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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.