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Finding the Fourth Proportional to 106,309.68, 146,702 and 58,562

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Solution

The fourth proportional to 106,309.68, 146,702 and 58,562 is: 80,812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,309.68 : 146,702 = 58,562 : x
  2. Step 2: Convert to fraction form
    106,309.68/146,702 = 58,562/x
  3. Step 3: Cross multiply
    106,309.68x = 146,702 × 58,562
  4. Step 4: Simplify right side
    106,309.68x = 8,591,162,524
  5. Step 5: Solve for x
    x = 8,591,162,524/106,309.68
  6. Step 6: Final answer
    x = 80,812.61

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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.