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Finding the Fourth Proportional to 106,463, 159,362.33 and 78,414.72

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Solution

The fourth proportional to 106,463, 159,362.33 and 78,414.72 is: 117,377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,463 : 159,362.33 = 78,414.72 : x
  2. Step 2: Convert to fraction form
    106,463/159,362.33 = 78,414.72/x
  3. Step 3: Cross multiply
    106,463x = 159,362.33 × 78,414.72
  4. Step 4: Simplify right side
    106,463x = 12,496,352,485.50
  5. Step 5: Solve for x
    x = 12,496,352,485.50/106,463
  6. Step 6: Final answer
    x = 117,377.42

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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.