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Finding the Fourth Proportional to 267,692.96, 401,616.24 and 101,497.76

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Solution

The fourth proportional to 267,692.96, 401,616.24 and 101,497.76 is: 152,275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,692.96 : 401,616.24 = 101,497.76 : x
  2. Step 2: Convert to fraction form
    267,692.96/401,616.24 = 101,497.76/x
  3. Step 3: Cross multiply
    267,692.96x = 401,616.24 × 101,497.76
  4. Step 4: Simplify right side
    267,692.96x = 40,763,148,739.62
  5. Step 5: Solve for x
    x = 40,763,148,739.62/267,692.96
  6. Step 6: Final answer
    x = 152,275.76

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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.