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Finding the Fourth Proportional to 200,545.20, 300,817.80 and 177,994.80

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Solution

The fourth proportional to 200,545.20, 300,817.80 and 177,994.80 is: 266,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,545.20 : 300,817.80 = 177,994.80 : x
  2. Step 2: Convert to fraction form
    200,545.20/300,817.80 = 177,994.80/x
  3. Step 3: Cross multiply
    200,545.20x = 300,817.80 × 177,994.80
  4. Step 4: Simplify right side
    200,545.20x = 53,544,004,147.44
  5. Step 5: Solve for x
    x = 53,544,004,147.44/200,545.20
  6. Step 6: Final answer
    x = 266,992.20

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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.