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Finding the Fourth Proportional to 256,505, 353,976.90 and 143,327.76

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Solution

The fourth proportional to 256,505, 353,976.90 and 143,327.76 is: 197,792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,505 : 353,976.90 = 143,327.76 : x
  2. Step 2: Convert to fraction form
    256,505/353,976.90 = 143,327.76/x
  3. Step 3: Cross multiply
    256,505x = 353,976.90 × 143,327.76
  4. Step 4: Simplify right side
    256,505x = 50,734,716,168.74
  5. Step 5: Solve for x
    x = 50,734,716,168.74/256,505
  6. Step 6: Final answer
    x = 197,792.31

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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.