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Finding the Fourth Proportional to 138,973.50, 191,738.88 and 85,231.62

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Solution

The fourth proportional to 138,973.50, 191,738.88 and 85,231.62 is: 117,592.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,973.50 : 191,738.88 = 85,231.62 : x
  2. Step 2: Convert to fraction form
    138,973.50/191,738.88 = 85,231.62/x
  3. Step 3: Cross multiply
    138,973.50x = 191,738.88 × 85,231.62
  4. Step 4: Simplify right side
    138,973.50x = 16,342,215,359.39
  5. Step 5: Solve for x
    x = 16,342,215,359.39/138,973.50
  6. Step 6: Final answer
    x = 117,592.31

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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.