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Finding the Fourth Proportional to 267,184, 400,950.96 and 100,972

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Solution

The fourth proportional to 267,184, 400,950.96 and 100,972 is: 151,524.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,184 : 400,950.96 = 100,972 : x
  2. Step 2: Convert to fraction form
    267,184/400,950.96 = 100,972/x
  3. Step 3: Cross multiply
    267,184x = 400,950.96 × 100,972
  4. Step 4: Simplify right side
    267,184x = 40,484,820,333.12
  5. Step 5: Solve for x
    x = 40,484,820,333.12/267,184
  6. Step 6: Final answer
    x = 151,524.12

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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.