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Finding the Fourth Proportional to 106,418.92, 146,851.38 and 58,672.60

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Solution

The fourth proportional to 106,418.92, 146,851.38 and 58,672.60 is: 80,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,418.92 : 146,851.38 = 58,672.60 : x
  2. Step 2: Convert to fraction form
    106,418.92/146,851.38 = 58,672.60/x
  3. Step 3: Cross multiply
    106,418.92x = 146,851.38 × 58,672.60
  4. Step 4: Simplify right side
    106,418.92x = 8,616,152,278.19
  5. Step 5: Solve for x
    x = 8,616,152,278.19/106,418.92
  6. Step 6: Final answer
    x = 80,964.48

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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.