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Finding the Fourth Proportional to 256,694.40, 354,251.54 and 147,814.90

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Solution

The fourth proportional to 256,694.40, 354,251.54 and 147,814.90 is: 203,992.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,694.40 : 354,251.54 = 147,814.90 : x
  2. Step 2: Convert to fraction form
    256,694.40/354,251.54 = 147,814.90/x
  3. Step 3: Cross multiply
    256,694.40x = 354,251.54 × 147,814.90
  4. Step 4: Simplify right side
    256,694.40x = 52,363,655,443.85
  5. Step 5: Solve for x
    x = 52,363,655,443.85/256,694.40
  6. Step 6: Final answer
    x = 203,992.20

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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.