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Finding the Fourth Proportional to 109,440.72, 164,233.44 and 50,274

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Solution

The fourth proportional to 109,440.72, 164,233.44 and 50,274 is: 75,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,440.72 : 164,233.44 = 50,274 : x
  2. Step 2: Convert to fraction form
    109,440.72/164,233.44 = 50,274/x
  3. Step 3: Cross multiply
    109,440.72x = 164,233.44 × 50,274
  4. Step 4: Simplify right side
    109,440.72x = 8,256,671,962.56
  5. Step 5: Solve for x
    x = 8,256,671,962.56/109,440.72
  6. Step 6: Final answer
    x = 75,444.24

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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.