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Finding the Fourth Proportional to 256,803.57, 354,398.62 and 140,524.86

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Solution

The fourth proportional to 256,803.57, 354,398.62 and 140,524.86 is: 193,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,803.57 : 354,398.62 = 140,524.86 : x
  2. Step 2: Convert to fraction form
    256,803.57/354,398.62 = 140,524.86/x
  3. Step 3: Cross multiply
    256,803.57x = 354,398.62 × 140,524.86
  4. Step 4: Simplify right side
    256,803.57x = 49,801,816,459.69
  5. Step 5: Solve for x
    x = 49,801,816,459.69/256,803.57
  6. Step 6: Final answer
    x = 193,929.61

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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.