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Finding the Fourth Proportional to 256,195, 353,522.23 and 148,744.04

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Solution

The fourth proportional to 256,195, 353,522.23 and 148,744.04 is: 205,251.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,195 : 353,522.23 = 148,744.04 : x
  2. Step 2: Convert to fraction form
    256,195/353,522.23 = 148,744.04/x
  3. Step 3: Cross multiply
    256,195x = 353,522.23 × 148,744.04
  4. Step 4: Simplify right side
    256,195x = 52,584,324,720.01
  5. Step 5: Solve for x
    x = 52,584,324,720.01/256,195
  6. Step 6: Final answer
    x = 205,251.17

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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.