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Finding the Fourth Proportional to 151,277, 227,019.18 and 52,781

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Solution

The fourth proportional to 151,277, 227,019.18 and 52,781 is: 79,207.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,277 : 227,019.18 = 52,781 : x
  2. Step 2: Convert to fraction form
    151,277/227,019.18 = 52,781/x
  3. Step 3: Cross multiply
    151,277x = 227,019.18 × 52,781
  4. Step 4: Simplify right side
    151,277x = 11,982,299,339.58
  5. Step 5: Solve for x
    x = 11,982,299,339.58/151,277
  6. Step 6: Final answer
    x = 79,207.67

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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.