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Finding the Fourth Proportional to 256,025.48, 384,120.30 and 106,337.48

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Solution

The fourth proportional to 256,025.48, 384,120.30 and 106,337.48 is: 159,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,025.48 : 384,120.30 = 106,337.48 : x
  2. Step 2: Convert to fraction form
    256,025.48/384,120.30 = 106,337.48/x
  3. Step 3: Cross multiply
    256,025.48x = 384,120.30 × 106,337.48
  4. Step 4: Simplify right side
    256,025.48x = 40,846,384,718.84
  5. Step 5: Solve for x
    x = 40,846,384,718.84/256,025.48
  6. Step 6: Final answer
    x = 159,540.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.