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Finding the Fourth Proportional to 256,138.57, 353,469.56 and 141,424.35

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Solution

The fourth proportional to 256,138.57, 353,469.56 and 141,424.35 is: 195,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,138.57 : 353,469.56 = 141,424.35 : x
  2. Step 2: Convert to fraction form
    256,138.57/353,469.56 = 141,424.35/x
  3. Step 3: Cross multiply
    256,138.57x = 353,469.56 × 141,424.35
  4. Step 4: Simplify right side
    256,138.57x = 49,989,201,000.44
  5. Step 5: Solve for x
    x = 49,989,201,000.44/256,138.57
  6. Step 6: Final answer
    x = 195,164.68

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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.