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Finding the Fourth Proportional to 257,192.78, 354,910.86 and 140,883.12

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Solution

The fourth proportional to 257,192.78, 354,910.86 and 140,883.12 is: 194,410.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,192.78 : 354,910.86 = 140,883.12 : x
  2. Step 2: Convert to fraction form
    257,192.78/354,910.86 = 140,883.12/x
  3. Step 3: Cross multiply
    257,192.78x = 354,910.86 × 140,883.12
  4. Step 4: Simplify right side
    257,192.78x = 50,000,949,278.68
  5. Step 5: Solve for x
    x = 50,000,949,278.68/257,192.78
  6. Step 6: Final answer
    x = 194,410.39

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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.