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Finding the Fourth Proportional to 106,787.70, 160,181.55 and 95,415.30

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Solution

The fourth proportional to 106,787.70, 160,181.55 and 95,415.30 is: 143,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,787.70 : 160,181.55 = 95,415.30 : x
  2. Step 2: Convert to fraction form
    106,787.70/160,181.55 = 95,415.30/x
  3. Step 3: Cross multiply
    106,787.70x = 160,181.55 × 95,415.30
  4. Step 4: Simplify right side
    106,787.70x = 15,283,770,647.72
  5. Step 5: Solve for x
    x = 15,283,770,647.72/106,787.70
  6. Step 6: Final answer
    x = 143,122.95

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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.