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Finding the Fourth Proportional to 106,092.39, 146,402.06 and 58,344.51

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Solution

The fourth proportional to 106,092.39, 146,402.06 and 58,344.51 is: 80,512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,092.39 : 146,402.06 = 58,344.51 : x
  2. Step 2: Convert to fraction form
    106,092.39/146,402.06 = 58,344.51/x
  3. Step 3: Cross multiply
    106,092.39x = 146,402.06 × 58,344.51
  4. Step 4: Simplify right side
    106,092.39x = 8,541,756,161.97
  5. Step 5: Solve for x
    x = 8,541,756,161.97/106,092.39
  6. Step 6: Final answer
    x = 80,512.43

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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.