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Finding the Fourth Proportional to 182,504.88, 273,709.80 and 77,269.68

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Solution

The fourth proportional to 182,504.88, 273,709.80 and 77,269.68 is: 115,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,504.88 : 273,709.80 = 77,269.68 : x
  2. Step 2: Convert to fraction form
    182,504.88/273,709.80 = 77,269.68/x
  3. Step 3: Cross multiply
    182,504.88x = 273,709.80 × 77,269.68
  4. Step 4: Simplify right side
    182,504.88x = 21,149,468,658.86
  5. Step 5: Solve for x
    x = 21,149,468,658.86/182,504.88
  6. Step 6: Final answer
    x = 115,884.40

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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.