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Finding the Fourth Proportional to 256,406.92, 353,769.46 and 147,505.56

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Solution

The fourth proportional to 256,406.92, 353,769.46 and 147,505.56 is: 203,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,406.92 : 353,769.46 = 147,505.56 : x
  2. Step 2: Convert to fraction form
    256,406.92/353,769.46 = 147,505.56/x
  3. Step 3: Cross multiply
    256,406.92x = 353,769.46 × 147,505.56
  4. Step 4: Simplify right side
    256,406.92x = 52,182,962,308.20
  5. Step 5: Solve for x
    x = 52,182,962,308.20/256,406.92
  6. Step 6: Final answer
    x = 203,516.20

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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.