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Finding the Fourth Proportional to 223,846, 335,769 and 76,102

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Solution

The fourth proportional to 223,846, 335,769 and 76,102 is: 114,153

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,846 : 335,769 = 76,102 : x
  2. Step 2: Convert to fraction form
    223,846/335,769 = 76,102/x
  3. Step 3: Cross multiply
    223,846x = 335,769 × 76,102
  4. Step 4: Simplify right side
    223,846x = 25,552,692,438
  5. Step 5: Solve for x
    x = 25,552,692,438/223,846
  6. Step 6: Final answer
    x = 114,153

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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.