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Finding the Fourth Proportional to 216,449.54, 298,694.85 and 120,957.02

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Solution

The fourth proportional to 216,449.54, 298,694.85 and 120,957.02 is: 166,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,449.54 : 298,694.85 = 120,957.02 : x
  2. Step 2: Convert to fraction form
    216,449.54/298,694.85 = 120,957.02/x
  3. Step 3: Cross multiply
    216,449.54x = 298,694.85 × 120,957.02
  4. Step 4: Simplify right side
    216,449.54x = 36,129,238,945.35
  5. Step 5: Solve for x
    x = 36,129,238,945.35/216,449.54
  6. Step 6: Final answer
    x = 166,917.61

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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.