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Finding the Fourth Proportional to 106,504.81, 146,977.13 and 58,758.14

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Solution

The fourth proportional to 106,504.81, 146,977.13 and 58,758.14 is: 81,086.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,504.81 : 146,977.13 = 58,758.14 : x
  2. Step 2: Convert to fraction form
    106,504.81/146,977.13 = 58,758.14/x
  3. Step 3: Cross multiply
    106,504.81x = 146,977.13 × 58,758.14
  4. Step 4: Simplify right side
    106,504.81x = 8,636,103,295.68
  5. Step 5: Solve for x
    x = 8,636,103,295.68/106,504.81
  6. Step 6: Final answer
    x = 81,086.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.