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Finding the Fourth Proportional to 103,866.82, 143,454.44 and 69,816.19

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Solution

The fourth proportional to 103,866.82, 143,454.44 and 69,816.19 is: 96,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,866.82 : 143,454.44 = 69,816.19 : x
  2. Step 2: Convert to fraction form
    103,866.82/143,454.44 = 69,816.19/x
  3. Step 3: Cross multiply
    103,866.82x = 143,454.44 × 69,816.19
  4. Step 4: Simplify right side
    103,866.82x = 10,015,442,439.38
  5. Step 5: Solve for x
    x = 10,015,442,439.38/103,866.82
  6. Step 6: Final answer
    x = 96,425.81

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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.