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Finding the Fourth Proportional to 106,694.74, 147,226.19 and 58,945.24

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Solution

The fourth proportional to 106,694.74, 147,226.19 and 58,945.24 is: 81,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,694.74 : 147,226.19 = 58,945.24 : x
  2. Step 2: Convert to fraction form
    106,694.74/147,226.19 = 58,945.24/x
  3. Step 3: Cross multiply
    106,694.74x = 147,226.19 × 58,945.24
  4. Step 4: Simplify right side
    106,694.74x = 8,678,283,103.84
  5. Step 5: Solve for x
    x = 8,678,283,103.84/106,694.74
  6. Step 6: Final answer
    x = 81,337.50

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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.