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Finding the Fourth Proportional to 122,873.44, 184,334.76 and 38,654.80

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Solution

The fourth proportional to 122,873.44, 184,334.76 and 38,654.80 is: 57,989.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,873.44 : 184,334.76 = 38,654.80 : x
  2. Step 2: Convert to fraction form
    122,873.44/184,334.76 = 38,654.80/x
  3. Step 3: Cross multiply
    122,873.44x = 184,334.76 × 38,654.80
  4. Step 4: Simplify right side
    122,873.44x = 7,125,422,359.17
  5. Step 5: Solve for x
    x = 7,125,422,359.17/122,873.44
  6. Step 6: Final answer
    x = 57,989.93

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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.