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Finding the Fourth Proportional to 266,827.84, 400,241.68 and 100,576.96

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Solution

The fourth proportional to 266,827.84, 400,241.68 and 100,576.96 is: 150,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,827.84 : 400,241.68 = 100,576.96 : x
  2. Step 2: Convert to fraction form
    266,827.84/400,241.68 = 100,576.96/x
  3. Step 3: Cross multiply
    266,827.84x = 400,241.68 × 100,576.96
  4. Step 4: Simplify right side
    266,827.84x = 40,255,091,439.69
  5. Step 5: Solve for x
    x = 40,255,091,439.69/266,827.84
  6. Step 6: Final answer
    x = 150,865.41

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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.