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Finding the Fourth Proportional to 139,815.10, 192,953.91 and 83,218.78

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Solution

The fourth proportional to 139,815.10, 192,953.91 and 83,218.78 is: 114,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,815.10 : 192,953.91 = 83,218.78 : x
  2. Step 2: Convert to fraction form
    139,815.10/192,953.91 = 83,218.78/x
  3. Step 3: Cross multiply
    139,815.10x = 192,953.91 × 83,218.78
  4. Step 4: Simplify right side
    139,815.10x = 16,057,388,986.43
  5. Step 5: Solve for x
    x = 16,057,388,986.43/139,815.10
  6. Step 6: Final answer
    x = 114,847.32

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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.