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Finding the Fourth Proportional to 151,267, 227,004.18 and 52,771

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Solution

The fourth proportional to 151,267, 227,004.18 and 52,771 is: 79,192.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,267 : 227,004.18 = 52,771 : x
  2. Step 2: Convert to fraction form
    151,267/227,004.18 = 52,771/x
  3. Step 3: Cross multiply
    151,267x = 227,004.18 × 52,771
  4. Step 4: Simplify right side
    151,267x = 11,979,237,582.78
  5. Step 5: Solve for x
    x = 11,979,237,582.78/151,267
  6. Step 6: Final answer
    x = 79,192.67

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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.