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Finding the Fourth Proportional to 138,524.64, 191,149.38 and 78,093.78

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Solution

The fourth proportional to 138,524.64, 191,149.38 and 78,093.78 is: 107,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,524.64 : 191,149.38 = 78,093.78 : x
  2. Step 2: Convert to fraction form
    138,524.64/191,149.38 = 78,093.78/x
  3. Step 3: Cross multiply
    138,524.64x = 191,149.38 × 78,093.78
  4. Step 4: Simplify right side
    138,524.64x = 14,927,577,628.86
  5. Step 5: Solve for x
    x = 14,927,577,628.86/138,524.64
  6. Step 6: Final answer
    x = 107,761.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.