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Finding the Fourth Proportional to 182,642.54, 273,963.87 and 119,515.77

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Solution

The fourth proportional to 182,642.54, 273,963.87 and 119,515.77 is: 179,273.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,642.54 : 273,963.87 = 119,515.77 : x
  2. Step 2: Convert to fraction form
    182,642.54/273,963.87 = 119,515.77/x
  3. Step 3: Cross multiply
    182,642.54x = 273,963.87 × 119,515.77
  4. Step 4: Simplify right side
    182,642.54x = 32,743,002,875.23
  5. Step 5: Solve for x
    x = 32,743,002,875.23/182,642.54
  6. Step 6: Final answer
    x = 179,273.70

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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.