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Finding the Fourth Proportional to 122,874, 184,167.21 and 46,922.82

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Solution

The fourth proportional to 122,874, 184,167.21 and 46,922.82 is: 70,329.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,874 : 184,167.21 = 46,922.82 : x
  2. Step 2: Convert to fraction form
    122,874/184,167.21 = 46,922.82/x
  3. Step 3: Cross multiply
    122,874x = 184,167.21 × 46,922.82
  4. Step 4: Simplify right side
    122,874x = 8,641,644,844.73
  5. Step 5: Solve for x
    x = 8,641,644,844.73/122,874
  6. Step 6: Final answer
    x = 70,329.32

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