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Finding the Fourth Proportional to 256,783.20, 354,363.24 and 143,606.20

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Solution

The fourth proportional to 256,783.20, 354,363.24 and 143,606.20 is: 198,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,783.20 : 354,363.24 = 143,606.20 : x
  2. Step 2: Convert to fraction form
    256,783.20/354,363.24 = 143,606.20/x
  3. Step 3: Cross multiply
    256,783.20x = 354,363.24 × 143,606.20
  4. Step 4: Simplify right side
    256,783.20x = 50,888,758,316.09
  5. Step 5: Solve for x
    x = 50,888,758,316.09/256,783.20
  6. Step 6: Final answer
    x = 198,177.91

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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.