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Finding the Fourth Proportional to 122,734, 184,103.24 and 38,492.28

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Solution

The fourth proportional to 122,734, 184,103.24 and 38,492.28 is: 57,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,734 : 184,103.24 = 38,492.28 : x
  2. Step 2: Convert to fraction form
    122,734/184,103.24 = 38,492.28/x
  3. Step 3: Cross multiply
    122,734x = 184,103.24 × 38,492.28
  4. Step 4: Simplify right side
    122,734x = 7,086,553,462.99
  5. Step 5: Solve for x
    x = 7,086,553,462.99/122,734
  6. Step 6: Final answer
    x = 57,739.12

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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.