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Finding the Fourth Proportional to 256,109.72, 353,450.96 and 141,410.48

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Solution

The fourth proportional to 256,109.72, 353,450.96 and 141,410.48 is: 195,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,109.72 : 353,450.96 = 141,410.48 : x
  2. Step 2: Convert to fraction form
    256,109.72/353,450.96 = 141,410.48/x
  3. Step 3: Cross multiply
    256,109.72x = 353,450.96 × 141,410.48
  4. Step 4: Simplify right side
    256,109.72x = 49,981,669,910.06
  5. Step 5: Solve for x
    x = 49,981,669,910.06/256,109.72
  6. Step 6: Final answer
    x = 195,157.25

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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.