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Finding the Fourth Proportional to 139,896.89, 193,060.01 and 76,234.68

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Solution

The fourth proportional to 139,896.89, 193,060.01 and 76,234.68 is: 105,205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,896.89 : 193,060.01 = 76,234.68 : x
  2. Step 2: Convert to fraction form
    139,896.89/193,060.01 = 76,234.68/x
  3. Step 3: Cross multiply
    139,896.89x = 193,060.01 × 76,234.68
  4. Step 4: Simplify right side
    139,896.89x = 14,717,867,701.97
  5. Step 5: Solve for x
    x = 14,717,867,701.97/139,896.89
  6. Step 6: Final answer
    x = 105,205.11

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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.