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Finding the Fourth Proportional to 267,106.78, 368,593.23 and 146,224.90

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Solution

The fourth proportional to 267,106.78, 368,593.23 and 146,224.90 is: 201,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,106.78 : 368,593.23 = 146,224.90 : x
  2. Step 2: Convert to fraction form
    267,106.78/368,593.23 = 146,224.90/x
  3. Step 3: Cross multiply
    267,106.78x = 368,593.23 × 146,224.90
  4. Step 4: Simplify right side
    267,106.78x = 53,897,508,197.43
  5. Step 5: Solve for x
    x = 53,897,508,197.43/267,106.78
  6. Step 6: Final answer
    x = 201,782.63

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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.