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Finding the Fourth Proportional to 99,286.94, 137,016.80 and 53,964.94

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Solution

The fourth proportional to 99,286.94, 137,016.80 and 53,964.94 is: 74,472.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,286.94 : 137,016.80 = 53,964.94 : x
  2. Step 2: Convert to fraction form
    99,286.94/137,016.80 = 53,964.94/x
  3. Step 3: Cross multiply
    99,286.94x = 137,016.80 × 53,964.94
  4. Step 4: Simplify right side
    99,286.94x = 7,394,103,390.99
  5. Step 5: Solve for x
    x = 7,394,103,390.99/99,286.94
  6. Step 6: Final answer
    x = 74,472.06

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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.