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Finding the Fourth Proportional to 106,292.96, 146,684.27 and 58,546.31

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Solution

The fourth proportional to 106,292.96, 146,684.27 and 58,546.31 is: 80,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,292.96 : 146,684.27 = 58,546.31 : x
  2. Step 2: Convert to fraction form
    106,292.96/146,684.27 = 58,546.31/x
  3. Step 3: Cross multiply
    106,292.96x = 146,684.27 × 58,546.31
  4. Step 4: Simplify right side
    106,292.96x = 8,587,822,706.55
  5. Step 5: Solve for x
    x = 8,587,822,706.55/106,292.96
  6. Step 6: Final answer
    x = 80,793.90

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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.