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Finding the Fourth Proportional to 106,170.72, 146,466.48 and 63,655.44

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Solution

The fourth proportional to 106,170.72, 146,466.48 and 63,655.44 is: 87,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,170.72 : 146,466.48 = 63,655.44 : x
  2. Step 2: Convert to fraction form
    106,170.72/146,466.48 = 63,655.44/x
  3. Step 3: Cross multiply
    106,170.72x = 146,466.48 × 63,655.44
  4. Step 4: Simplify right side
    106,170.72x = 9,323,388,229.65
  5. Step 5: Solve for x
    x = 9,323,388,229.65/106,170.72
  6. Step 6: Final answer
    x = 87,815.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.