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Finding the Fourth Proportional to 109,874.00, 164,542.21 and 99,224.42

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Solution

The fourth proportional to 109,874.00, 164,542.21 and 99,224.42 is: 148,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,874.00 : 164,542.21 = 99,224.42 : x
  2. Step 2: Convert to fraction form
    109,874.00/164,542.21 = 99,224.42/x
  3. Step 3: Cross multiply
    109,874.00x = 164,542.21 × 99,224.42
  4. Step 4: Simplify right side
    109,874.00x = 16,326,604,282.00
  5. Step 5: Solve for x
    x = 16,326,604,282.00/109,874.00
  6. Step 6: Final answer
    x = 148,593.88

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1.5x scale

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.