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Finding the Fourth Proportional to 114,704.17, 158,309 and 82,545.25

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Solution

The fourth proportional to 114,704.17, 158,309 and 82,545.25 is: 113,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,704.17 : 158,309 = 82,545.25 : x
  2. Step 2: Convert to fraction form
    114,704.17/158,309 = 82,545.25/x
  3. Step 3: Cross multiply
    114,704.17x = 158,309 × 82,545.25
  4. Step 4: Simplify right side
    114,704.17x = 13,067,655,982.25
  5. Step 5: Solve for x
    x = 13,067,655,982.25/114,704.17
  6. Step 6: Final answer
    x = 113,924.86

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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.