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Finding the Fourth Proportional to 106,282.87, 146,677 and 58,536.21

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Solution

The fourth proportional to 106,282.87, 146,677 and 58,536.21 is: 80,783.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,282.87 : 146,677 = 58,536.21 : x
  2. Step 2: Convert to fraction form
    106,282.87/146,677 = 58,536.21/x
  3. Step 3: Cross multiply
    106,282.87x = 146,677 × 58,536.21
  4. Step 4: Simplify right side
    106,282.87x = 8,585,915,674.17
  5. Step 5: Solve for x
    x = 8,585,915,674.17/106,282.87
  6. Step 6: Final answer
    x = 80,783.63

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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.