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Finding the Fourth Proportional to 164,845.82, 247,099.13 and 74,951.06

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Solution

The fourth proportional to 164,845.82, 247,099.13 and 74,951.06 is: 112,349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,845.82 : 247,099.13 = 74,951.06 : x
  2. Step 2: Convert to fraction form
    164,845.82/247,099.13 = 74,951.06/x
  3. Step 3: Cross multiply
    164,845.82x = 247,099.13 × 74,951.06
  4. Step 4: Simplify right side
    164,845.82x = 18,520,340,108.33
  5. Step 5: Solve for x
    x = 18,520,340,108.33/164,845.82
  6. Step 6: Final answer
    x = 112,349.47

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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.