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Finding the Fourth Proportional to 106,502.82, 146,974.38 and 58,756.15

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Solution

The fourth proportional to 106,502.82, 146,974.38 and 58,756.15 is: 81,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,502.82 : 146,974.38 = 58,756.15 : x
  2. Step 2: Convert to fraction form
    106,502.82/146,974.38 = 58,756.15/x
  3. Step 3: Cross multiply
    106,502.82x = 146,974.38 × 58,756.15
  4. Step 4: Simplify right side
    106,502.82x = 8,635,648,717.44
  5. Step 5: Solve for x
    x = 8,635,648,717.44/106,502.82
  6. Step 6: Final answer
    x = 81,083.76

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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.