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Finding the Fourth Proportional to 137,021.36, 189,119.97 and 83,295

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Solution

The fourth proportional to 137,021.36, 189,119.97 and 83,295 is: 114,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,021.36 : 189,119.97 = 83,295 : x
  2. Step 2: Convert to fraction form
    137,021.36/189,119.97 = 83,295/x
  3. Step 3: Cross multiply
    137,021.36x = 189,119.97 × 83,295
  4. Step 4: Simplify right side
    137,021.36x = 15,752,747,901.15
  5. Step 5: Solve for x
    x = 15,752,747,901.15/137,021.36
  6. Step 6: Final answer
    x = 114,965.64

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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.