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Finding the Fourth Proportional to 267,297.29, 401,005.78 and 89,799.46

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Solution

The fourth proportional to 267,297.29, 401,005.78 and 89,799.46 is: 134,719.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,297.29 : 401,005.78 = 89,799.46 : x
  2. Step 2: Convert to fraction form
    267,297.29/401,005.78 = 89,799.46/x
  3. Step 3: Cross multiply
    267,297.29x = 401,005.78 × 89,799.46
  4. Step 4: Simplify right side
    267,297.29x = 36,010,103,033.10
  5. Step 5: Solve for x
    x = 36,010,103,033.10/267,297.29
  6. Step 6: Final answer
    x = 134,719.30

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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.