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Finding the Fourth Proportional to 201,895.10, 302,842.65 and 200,512.70

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Solution

The fourth proportional to 201,895.10, 302,842.65 and 200,512.70 is: 300,769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,895.10 : 302,842.65 = 200,512.70 : x
  2. Step 2: Convert to fraction form
    201,895.10/302,842.65 = 200,512.70/x
  3. Step 3: Cross multiply
    201,895.10x = 302,842.65 × 200,512.70
  4. Step 4: Simplify right side
    201,895.10x = 60,723,797,426.66
  5. Step 5: Solve for x
    x = 60,723,797,426.66/201,895.10
  6. Step 6: Final answer
    x = 300,769.05

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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.