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Finding the Fourth Proportional to 267,183, 400,949.46 and 100,971

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Solution

The fourth proportional to 267,183, 400,949.46 and 100,971 is: 151,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,183 : 400,949.46 = 100,971 : x
  2. Step 2: Convert to fraction form
    267,183/400,949.46 = 100,971/x
  3. Step 3: Cross multiply
    267,183x = 400,949.46 × 100,971
  4. Step 4: Simplify right side
    267,183x = 40,484,267,925.66
  5. Step 5: Solve for x
    x = 40,484,267,925.66/267,183
  6. Step 6: Final answer
    x = 151,522.62

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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.