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Finding the Fourth Proportional to 76,098.30, 114,163.02 and 26,171.90

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Solution

The fourth proportional to 76,098.30, 114,163.02 and 26,171.90 is: 39,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,098.30 : 114,163.02 = 26,171.90 : x
  2. Step 2: Convert to fraction form
    76,098.30/114,163.02 = 26,171.90/x
  3. Step 3: Cross multiply
    76,098.30x = 114,163.02 × 26,171.90
  4. Step 4: Simplify right side
    76,098.30x = 2,987,863,143.14
  5. Step 5: Solve for x
    x = 2,987,863,143.14/76,098.30
  6. Step 6: Final answer
    x = 39,263.20

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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.