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Finding the Fourth Proportional to 164,401.78, 226,850.14 and 99,837.44

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Solution

The fourth proportional to 164,401.78, 226,850.14 and 99,837.44 is: 137,760.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,401.78 : 226,850.14 = 99,837.44 : x
  2. Step 2: Convert to fraction form
    164,401.78/226,850.14 = 99,837.44/x
  3. Step 3: Cross multiply
    164,401.78x = 226,850.14 × 99,837.44
  4. Step 4: Simplify right side
    164,401.78x = 22,648,137,241.24
  5. Step 5: Solve for x
    x = 22,648,137,241.24/164,401.78
  6. Step 6: Final answer
    x = 137,760.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.