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Finding the Fourth Proportional to 106,456.74, 146,911.23 and 58,711.74

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Solution

The fourth proportional to 106,456.74, 146,911.23 and 58,711.74 is: 81,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,456.74 : 146,911.23 = 58,711.74 : x
  2. Step 2: Convert to fraction form
    106,456.74/146,911.23 = 58,711.74/x
  3. Step 3: Cross multiply
    106,456.74x = 146,911.23 × 58,711.74
  4. Step 4: Simplify right side
    106,456.74x = 8,625,413,938.84
  5. Step 5: Solve for x
    x = 8,625,413,938.84/106,456.74
  6. Step 6: Final answer
    x = 81,022.71

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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.