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Finding the Fourth Proportional to 114,148.40, 157,198.20 and 82,266.80

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Solution

The fourth proportional to 114,148.40, 157,198.20 and 82,266.80 is: 113,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,148.40 : 157,198.20 = 82,266.80 : x
  2. Step 2: Convert to fraction form
    114,148.40/157,198.20 = 82,266.80/x
  3. Step 3: Cross multiply
    114,148.40x = 157,198.20 × 82,266.80
  4. Step 4: Simplify right side
    114,148.40x = 12,932,192,879.76
  5. Step 5: Solve for x
    x = 12,932,192,879.76/114,148.40
  6. Step 6: Final answer
    x = 113,292.81

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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.