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Finding the Fourth Proportional to 149,906.30, 224,748.23 and 90,727.90

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Solution

The fourth proportional to 149,906.30, 224,748.23 and 90,727.90 is: 136,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,906.30 : 224,748.23 = 90,727.90 : x
  2. Step 2: Convert to fraction form
    149,906.30/224,748.23 = 90,727.90/x
  3. Step 3: Cross multiply
    149,906.30x = 224,748.23 × 90,727.90
  4. Step 4: Simplify right side
    149,906.30x = 20,390,934,936.62
  5. Step 5: Solve for x
    x = 20,390,934,936.62/149,906.30
  6. Step 6: Final answer
    x = 136,024.54

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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.