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Finding the Fourth Proportional to 257,041.92, 354,722.24 and 140,765.61

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Solution

The fourth proportional to 257,041.92, 354,722.24 and 140,765.61 is: 194,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,041.92 : 354,722.24 = 140,765.61 : x
  2. Step 2: Convert to fraction form
    257,041.92/354,722.24 = 140,765.61/x
  3. Step 3: Cross multiply
    257,041.92x = 354,722.24 × 140,765.61
  4. Step 4: Simplify right side
    257,041.92x = 49,932,694,176.29
  5. Step 5: Solve for x
    x = 49,932,694,176.29/257,041.92
  6. Step 6: Final answer
    x = 194,258.95

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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.