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Finding the Fourth Proportional to 138,408.86, 190,964.72 and 77,958.38

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Solution

The fourth proportional to 138,408.86, 190,964.72 and 77,958.38 is: 107,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,408.86 : 190,964.72 = 77,958.38 : x
  2. Step 2: Convert to fraction form
    138,408.86/190,964.72 = 77,958.38/x
  3. Step 3: Cross multiply
    138,408.86x = 190,964.72 × 77,958.38
  4. Step 4: Simplify right side
    138,408.86x = 14,887,300,208.35
  5. Step 5: Solve for x
    x = 14,887,300,208.35/138,408.86
  6. Step 6: Final answer
    x = 107,560.31

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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.