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Finding the Fourth Proportional to 201,894.10, 302,841.15 and 200,511.70

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Solution

The fourth proportional to 201,894.10, 302,841.15 and 200,511.70 is: 300,767.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,894.10 : 302,841.15 = 200,511.70 : x
  2. Step 2: Convert to fraction form
    201,894.10/302,841.15 = 200,511.70/x
  3. Step 3: Cross multiply
    201,894.10x = 302,841.15 × 200,511.70
  4. Step 4: Simplify right side
    201,894.10x = 60,723,193,816.46
  5. Step 5: Solve for x
    x = 60,723,193,816.46/201,894.10
  6. Step 6: Final answer
    x = 300,767.55

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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.