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Finding the Fourth Proportional to 256,194, 353,520.85 and 148,743.04

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Solution

The fourth proportional to 256,194, 353,520.85 and 148,743.04 is: 205,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,194 : 353,520.85 = 148,743.04 : x
  2. Step 2: Convert to fraction form
    256,194/353,520.85 = 148,743.04/x
  3. Step 3: Cross multiply
    256,194x = 353,520.85 × 148,743.04
  4. Step 4: Simplify right side
    256,194x = 52,583,765,932.38
  5. Step 5: Solve for x
    x = 52,583,765,932.38/256,194
  6. Step 6: Final answer
    x = 205,249.79

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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.