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Finding the Fourth Proportional to 107,314.30, 160,971.45 and 54,826.30

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Solution

The fourth proportional to 107,314.30, 160,971.45 and 54,826.30 is: 82,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,314.30 : 160,971.45 = 54,826.30 : x
  2. Step 2: Convert to fraction form
    107,314.30/160,971.45 = 54,826.30/x
  3. Step 3: Cross multiply
    107,314.30x = 160,971.45 × 54,826.30
  4. Step 4: Simplify right side
    107,314.30x = 8,825,469,009.14
  5. Step 5: Solve for x
    x = 8,825,469,009.14/107,314.30
  6. Step 6: Final answer
    x = 82,239.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.