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Finding the Fourth Proportional to 267,816.47, 401,727 and 68,137.07

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Solution

The fourth proportional to 267,816.47, 401,727 and 68,137.07 is: 102,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,816.47 : 401,727 = 68,137.07 : x
  2. Step 2: Convert to fraction form
    267,816.47/401,727 = 68,137.07/x
  3. Step 3: Cross multiply
    267,816.47x = 401,727 × 68,137.07
  4. Step 4: Simplify right side
    267,816.47x = 27,372,500,719.89
  5. Step 5: Solve for x
    x = 27,372,500,719.89/267,816.47
  6. Step 6: Final answer
    x = 102,206.19

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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.