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Finding the Fourth Proportional to 182,761.39, 273,932.15 and 114,403.64

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Solution

The fourth proportional to 182,761.39, 273,932.15 and 114,403.64 is: 171,474.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,761.39 : 273,932.15 = 114,403.64 : x
  2. Step 2: Convert to fraction form
    182,761.39/273,932.15 = 114,403.64/x
  3. Step 3: Cross multiply
    182,761.39x = 273,932.15 × 114,403.64
  4. Step 4: Simplify right side
    182,761.39x = 31,338,835,073.03
  5. Step 5: Solve for x
    x = 31,338,835,073.03/182,761.39
  6. Step 6: Final answer
    x = 171,474.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.