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Finding the Fourth Proportional to 106,318.14, 159,505.98 and 39,764.98

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Solution

The fourth proportional to 106,318.14, 159,505.98 and 39,764.98 is: 59,658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,318.14 : 159,505.98 = 39,764.98 : x
  2. Step 2: Convert to fraction form
    106,318.14/159,505.98 = 39,764.98/x
  3. Step 3: Cross multiply
    106,318.14x = 159,505.98 × 39,764.98
  4. Step 4: Simplify right side
    106,318.14x = 6,342,752,104.58
  5. Step 5: Solve for x
    x = 6,342,752,104.58/106,318.14
  6. Step 6: Final answer
    x = 59,658.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.