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Finding the Fourth Proportional to 83,206.14, 114,811.20 and 47,396.85

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Solution

The fourth proportional to 83,206.14, 114,811.20 and 47,396.85 is: 65,400.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,206.14 : 114,811.20 = 47,396.85 : x
  2. Step 2: Convert to fraction form
    83,206.14/114,811.20 = 47,396.85/x
  3. Step 3: Cross multiply
    83,206.14x = 114,811.20 × 47,396.85
  4. Step 4: Simplify right side
    83,206.14x = 5,441,689,224.72
  5. Step 5: Solve for x
    x = 5,441,689,224.72/83,206.14
  6. Step 6: Final answer
    x = 65,400.09

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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.