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Finding the Fourth Proportional to 106,388.20, 146,864.10 and 75,781

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Solution

The fourth proportional to 106,388.20, 146,864.10 and 75,781 is: 104,612.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,388.20 : 146,864.10 = 75,781 : x
  2. Step 2: Convert to fraction form
    106,388.20/146,864.10 = 75,781/x
  3. Step 3: Cross multiply
    106,388.20x = 146,864.10 × 75,781
  4. Step 4: Simplify right side
    106,388.20x = 11,129,508,362.10
  5. Step 5: Solve for x
    x = 11,129,508,362.10/106,388.20
  6. Step 6: Final answer
    x = 104,612.24

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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.