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Finding the Fourth Proportional to 203,934.60, 305,603.10 and 182,874.60

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Solution

The fourth proportional to 203,934.60, 305,603.10 and 182,874.60 is: 274,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,934.60 : 305,603.10 = 182,874.60 : x
  2. Step 2: Convert to fraction form
    203,934.60/305,603.10 = 182,874.60/x
  3. Step 3: Cross multiply
    203,934.60x = 305,603.10 × 182,874.60
  4. Step 4: Simplify right side
    203,934.60x = 55,887,044,671.26
  5. Step 5: Solve for x
    x = 55,887,044,671.26/203,934.60
  6. Step 6: Final answer
    x = 274,043.96

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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.