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Finding the Fourth Proportional to 106,009, 146,204.79 and 71,961.52

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Solution

The fourth proportional to 106,009, 146,204.79 and 71,961.52 is: 99,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,009 : 146,204.79 = 71,961.52 : x
  2. Step 2: Convert to fraction form
    106,009/146,204.79 = 71,961.52/x
  3. Step 3: Cross multiply
    106,009x = 146,204.79 × 71,961.52
  4. Step 4: Simplify right side
    106,009x = 10,521,118,919.68
  5. Step 5: Solve for x
    x = 10,521,118,919.68/106,009
  6. Step 6: Final answer
    x = 99,247.41

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