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Finding the Fourth Proportional to 106,423.97, 146,712.48 and 83,723.54

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Solution

The fourth proportional to 106,423.97, 146,712.48 and 83,723.54 is: 115,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,423.97 : 146,712.48 = 83,723.54 : x
  2. Step 2: Convert to fraction form
    106,423.97/146,712.48 = 83,723.54/x
  3. Step 3: Cross multiply
    106,423.97x = 146,712.48 × 83,723.54
  4. Step 4: Simplify right side
    106,423.97x = 12,283,288,187.78
  5. Step 5: Solve for x
    x = 12,283,288,187.78/106,423.97
  6. Step 6: Final answer
    x = 115,418.44

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1.5x scale

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.