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Finding the Fourth Proportional to 106,129.89, 146,458.20 and 58,383.30

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Solution

The fourth proportional to 106,129.89, 146,458.20 and 58,383.30 is: 80,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,129.89 : 146,458.20 = 58,383.30 : x
  2. Step 2: Convert to fraction form
    106,129.89/146,458.20 = 58,383.30/x
  3. Step 3: Cross multiply
    106,129.89x = 146,458.20 × 58,383.30
  4. Step 4: Simplify right side
    106,129.89x = 8,550,713,028.06
  5. Step 5: Solve for x
    x = 8,550,713,028.06/106,129.89
  6. Step 6: Final answer
    x = 80,568.38

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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.