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Finding the Fourth Proportional to 266,869.60, 400,269.84 and 100,636

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Solution

The fourth proportional to 266,869.60, 400,269.84 and 100,636 is: 150,940.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,869.60 : 400,269.84 = 100,636 : x
  2. Step 2: Convert to fraction form
    266,869.60/400,269.84 = 100,636/x
  3. Step 3: Cross multiply
    266,869.60x = 400,269.84 × 100,636
  4. Step 4: Simplify right side
    266,869.60x = 40,281,555,618.24
  5. Step 5: Solve for x
    x = 40,281,555,618.24/266,869.60
  6. Step 6: Final answer
    x = 150,940.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.