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Finding the Fourth Proportional to 151,274, 227,014.68 and 52,778

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Solution

The fourth proportional to 151,274, 227,014.68 and 52,778 is: 79,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,274 : 227,014.68 = 52,778 : x
  2. Step 2: Convert to fraction form
    151,274/227,014.68 = 52,778/x
  3. Step 3: Cross multiply
    151,274x = 227,014.68 × 52,778
  4. Step 4: Simplify right side
    151,274x = 11,981,380,781.04
  5. Step 5: Solve for x
    x = 11,981,380,781.04/151,274
  6. Step 6: Final answer
    x = 79,203.17

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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.