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Finding the Fourth Proportional to 106,501.82, 146,973 and 58,755.15

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Solution

The fourth proportional to 106,501.82, 146,973 and 58,755.15 is: 81,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,501.82 : 146,973 = 58,755.15 : x
  2. Step 2: Convert to fraction form
    106,501.82/146,973 = 58,755.15/x
  3. Step 3: Cross multiply
    106,501.82x = 146,973 × 58,755.15
  4. Step 4: Simplify right side
    106,501.82x = 8,635,420,660.95
  5. Step 5: Solve for x
    x = 8,635,420,660.95/106,501.82
  6. Step 6: Final answer
    x = 81,082.38

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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.