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Finding the Fourth Proportional to 106,093.62, 146,383.49 and 67,317.32

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Solution

The fourth proportional to 106,093.62, 146,383.49 and 67,317.32 is: 92,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,093.62 : 146,383.49 = 67,317.32 : x
  2. Step 2: Convert to fraction form
    106,093.62/146,383.49 = 67,317.32/x
  3. Step 3: Cross multiply
    106,093.62x = 146,383.49 × 67,317.32
  4. Step 4: Simplify right side
    106,093.62x = 9,854,144,773.30
  5. Step 5: Solve for x
    x = 9,854,144,773.30/106,093.62
  6. Step 6: Final answer
    x = 92,881.60

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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.