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Finding the Fourth Proportional to 83,178.80, 114,790.92 and 50,903.29

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Solution

The fourth proportional to 83,178.80, 114,790.92 and 50,903.29 is: 70,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178.80 : 114,790.92 = 50,903.29 : x
  2. Step 2: Convert to fraction form
    83,178.80/114,790.92 = 50,903.29/x
  3. Step 3: Cross multiply
    83,178.80x = 114,790.92 × 50,903.29
  4. Step 4: Simplify right side
    83,178.80x = 5,843,235,083.36
  5. Step 5: Solve for x
    x = 5,843,235,083.36/83,178.80
  6. Step 6: Final answer
    x = 70,249.09

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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.