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Finding the Fourth Proportional to 122,974.60, 184,461.90 and 107,422.60

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Solution

The fourth proportional to 122,974.60, 184,461.90 and 107,422.60 is: 161,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,974.60 : 184,461.90 = 107,422.60 : x
  2. Step 2: Convert to fraction form
    122,974.60/184,461.90 = 107,422.60/x
  3. Step 3: Cross multiply
    122,974.60x = 184,461.90 × 107,422.60
  4. Step 4: Simplify right side
    122,974.60x = 19,815,376,898.94
  5. Step 5: Solve for x
    x = 19,815,376,898.94/122,974.60
  6. Step 6: Final answer
    x = 161,133.90

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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.