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Finding the Fourth Proportional to 267,889.23, 401,820.93 and 99,442.44

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Solution

The fourth proportional to 267,889.23, 401,820.93 and 99,442.44 is: 149,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,889.23 : 401,820.93 = 99,442.44 : x
  2. Step 2: Convert to fraction form
    267,889.23/401,820.93 = 99,442.44/x
  3. Step 3: Cross multiply
    267,889.23x = 401,820.93 × 99,442.44
  4. Step 4: Simplify right side
    267,889.23x = 39,958,053,722.27
  5. Step 5: Solve for x
    x = 39,958,053,722.27/267,889.23
  6. Step 6: Final answer
    x = 149,158.87

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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.