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Finding the Fourth Proportional to 114,472.62, 170,866.80 and 106,450.38

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Solution

The fourth proportional to 114,472.62, 170,866.80 and 106,450.38 is: 158,892.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,472.62 : 170,866.80 = 106,450.38 : x
  2. Step 2: Convert to fraction form
    114,472.62/170,866.80 = 106,450.38/x
  3. Step 3: Cross multiply
    114,472.62x = 170,866.80 × 106,450.38
  4. Step 4: Simplify right side
    114,472.62x = 18,188,835,789.38
  5. Step 5: Solve for x
    x = 18,188,835,789.38/114,472.62
  6. Step 6: Final answer
    x = 158,892.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.