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Finding the Fourth Proportional to 226,296, 339,444 and 78,552

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Solution

The fourth proportional to 226,296, 339,444 and 78,552 is: 117,828

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,296 : 339,444 = 78,552 : x
  2. Step 2: Convert to fraction form
    226,296/339,444 = 78,552/x
  3. Step 3: Cross multiply
    226,296x = 339,444 × 78,552
  4. Step 4: Simplify right side
    226,296x = 26,664,005,088
  5. Step 5: Solve for x
    x = 26,664,005,088/226,296
  6. Step 6: Final answer
    x = 117,828

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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.