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Finding the Fourth Proportional to 138,817, 191,552.76 and 78,383.98

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Solution

The fourth proportional to 138,817, 191,552.76 and 78,383.98 is: 108,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,817 : 191,552.76 = 78,383.98 : x
  2. Step 2: Convert to fraction form
    138,817/191,552.76 = 78,383.98/x
  3. Step 3: Cross multiply
    138,817x = 191,552.76 × 78,383.98
  4. Step 4: Simplify right side
    138,817x = 15,014,667,708.78
  5. Step 5: Solve for x
    x = 15,014,667,708.78/138,817
  6. Step 6: Final answer
    x = 108,161.59

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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.