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Finding the Fourth Proportional to 200,095.80, 300,057.30 and 100,217.40

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Solution

The fourth proportional to 200,095.80, 300,057.30 and 100,217.40 is: 150,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,095.80 : 300,057.30 = 100,217.40 : x
  2. Step 2: Convert to fraction form
    200,095.80/300,057.30 = 100,217.40/x
  3. Step 3: Cross multiply
    200,095.80x = 300,057.30 × 100,217.40
  4. Step 4: Simplify right side
    200,095.80x = 30,070,962,457.02
  5. Step 5: Solve for x
    x = 30,070,962,457.02/200,095.80
  6. Step 6: Final answer
    x = 150,282.83

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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.