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Finding the Fourth Proportional to 267,383.34, 401,082.03 and 77,836.05

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Solution

The fourth proportional to 267,383.34, 401,082.03 and 77,836.05 is: 116,756.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,383.34 : 401,082.03 = 77,836.05 : x
  2. Step 2: Convert to fraction form
    267,383.34/401,082.03 = 77,836.05/x
  3. Step 3: Cross multiply
    267,383.34x = 401,082.03 × 77,836.05
  4. Step 4: Simplify right side
    267,383.34x = 31,218,640,941.18
  5. Step 5: Solve for x
    x = 31,218,640,941.18/267,383.34
  6. Step 6: Final answer
    x = 116,756.12

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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.