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Finding the Fourth Proportional to 106,137.41, 146,469.60 and 63,695.97

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Solution

The fourth proportional to 106,137.41, 146,469.60 and 63,695.97 is: 87,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,137.41 : 146,469.60 = 63,695.97 : x
  2. Step 2: Convert to fraction form
    106,137.41/146,469.60 = 63,695.97/x
  3. Step 3: Cross multiply
    106,137.41x = 146,469.60 × 63,695.97
  4. Step 4: Simplify right side
    106,137.41x = 9,329,523,247.51
  5. Step 5: Solve for x
    x = 9,329,523,247.51/106,137.41
  6. Step 6: Final answer
    x = 87,900.43

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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.