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Finding the Fourth Proportional to 140,251, 193,543.64 and 76,589.32

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Solution

The fourth proportional to 140,251, 193,543.64 and 76,589.32 is: 105,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,251 : 193,543.64 = 76,589.32 : x
  2. Step 2: Convert to fraction form
    140,251/193,543.64 = 76,589.32/x
  3. Step 3: Cross multiply
    140,251x = 193,543.64 × 76,589.32
  4. Step 4: Simplify right side
    140,251x = 14,823,375,777.92
  5. Step 5: Solve for x
    x = 14,823,375,777.92/140,251
  6. Step 6: Final answer
    x = 105,691.77

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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.