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Finding the Fourth Proportional to 106,392.87, 146,821.19 and 57,994.79

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Solution

The fourth proportional to 106,392.87, 146,821.19 and 57,994.79 is: 80,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,392.87 : 146,821.19 = 57,994.79 : x
  2. Step 2: Convert to fraction form
    106,392.87/146,821.19 = 57,994.79/x
  3. Step 3: Cross multiply
    106,392.87x = 146,821.19 × 57,994.79
  4. Step 4: Simplify right side
    106,392.87x = 8,514,863,057.52
  5. Step 5: Solve for x
    x = 8,514,863,057.52/106,392.87
  6. Step 6: Final answer
    x = 80,032.27

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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.