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Finding the Fourth Proportional to 263,083.75, 363,046.71 and 166,339.68

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Solution

The fourth proportional to 263,083.75, 363,046.71 and 166,339.68 is: 229,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,083.75 : 363,046.71 = 166,339.68 : x
  2. Step 2: Convert to fraction form
    263,083.75/363,046.71 = 166,339.68/x
  3. Step 3: Cross multiply
    263,083.75x = 363,046.71 × 166,339.68
  4. Step 4: Simplify right side
    263,083.75x = 60,389,073,566.45
  5. Step 5: Solve for x
    x = 60,389,073,566.45/263,083.75
  6. Step 6: Final answer
    x = 229,543.15

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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.