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Finding the Fourth Proportional to 106,662.88, 160,033.20 and 56,747.44

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Solution

The fourth proportional to 106,662.88, 160,033.20 and 56,747.44 is: 85,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,662.88 : 160,033.20 = 56,747.44 : x
  2. Step 2: Convert to fraction form
    106,662.88/160,033.20 = 56,747.44/x
  3. Step 3: Cross multiply
    106,662.88x = 160,033.20 × 56,747.44
  4. Step 4: Simplify right side
    106,662.88x = 9,081,474,415.01
  5. Step 5: Solve for x
    x = 9,081,474,415.01/106,662.88
  6. Step 6: Final answer
    x = 85,141.85

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1.5x scale

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.