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Finding the Fourth Proportional to 106,391.25, 146,820.92 and 58,646.31

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Solution

The fourth proportional to 106,391.25, 146,820.92 and 58,646.31 is: 80,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,391.25 : 146,820.92 = 58,646.31 : x
  2. Step 2: Convert to fraction form
    106,391.25/146,820.92 = 58,646.31/x
  3. Step 3: Cross multiply
    106,391.25x = 146,820.92 × 58,646.31
  4. Step 4: Simplify right side
    106,391.25x = 8,610,504,895.57
  5. Step 5: Solve for x
    x = 8,610,504,895.57/106,391.25
  6. Step 6: Final answer
    x = 80,932.45

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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.