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Finding the Fourth Proportional to 164,027.30, 246,040.95 and 149,512.10

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Solution

The fourth proportional to 164,027.30, 246,040.95 and 149,512.10 is: 224,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,027.30 : 246,040.95 = 149,512.10 : x
  2. Step 2: Convert to fraction form
    164,027.30/246,040.95 = 149,512.10/x
  3. Step 3: Cross multiply
    164,027.30x = 246,040.95 × 149,512.10
  4. Step 4: Simplify right side
    164,027.30x = 36,786,099,120.50
  5. Step 5: Solve for x
    x = 36,786,099,120.50/164,027.30
  6. Step 6: Final answer
    x = 224,268.15

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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.