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Finding the Fourth Proportional to 139,815.60, 192,954.60 and 83,219.28

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Solution

The fourth proportional to 139,815.60, 192,954.60 and 83,219.28 is: 114,848.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,815.60 : 192,954.60 = 83,219.28 : x
  2. Step 2: Convert to fraction form
    139,815.60/192,954.60 = 83,219.28/x
  3. Step 3: Cross multiply
    139,815.60x = 192,954.60 × 83,219.28
  4. Step 4: Simplify right side
    139,815.60x = 16,057,542,884.69
  5. Step 5: Solve for x
    x = 16,057,542,884.69/139,815.60
  6. Step 6: Final answer
    x = 114,848.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.