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Finding the Fourth Proportional to 256,375.36, 353,805.12 and 141,661.36

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Solution

The fourth proportional to 256,375.36, 353,805.12 and 141,661.36 is: 195,496.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,375.36 : 353,805.12 = 141,661.36 : x
  2. Step 2: Convert to fraction form
    256,375.36/353,805.12 = 141,661.36/x
  3. Step 3: Cross multiply
    256,375.36x = 353,805.12 × 141,661.36
  4. Step 4: Simplify right side
    256,375.36x = 50,120,514,474.16
  5. Step 5: Solve for x
    x = 50,120,514,474.16/256,375.36
  6. Step 6: Final answer
    x = 195,496.61

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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.