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Finding the Fourth Proportional to 122,874.94, 184,337.01 and 38,656.30

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Solution

The fourth proportional to 122,874.94, 184,337.01 and 38,656.30 is: 57,992.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,874.94 : 184,337.01 = 38,656.30 : x
  2. Step 2: Convert to fraction form
    122,874.94/184,337.01 = 38,656.30/x
  3. Step 3: Cross multiply
    122,874.94x = 184,337.01 × 38,656.30
  4. Step 4: Simplify right side
    122,874.94x = 7,125,786,759.66
  5. Step 5: Solve for x
    x = 7,125,786,759.66/122,874.94
  6. Step 6: Final answer
    x = 57,992.19

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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.