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Finding the Fourth Proportional to 226,371.84, 339,553.92 and 78,624

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Solution

The fourth proportional to 226,371.84, 339,553.92 and 78,624 is: 117,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,371.84 : 339,553.92 = 78,624 : x
  2. Step 2: Convert to fraction form
    226,371.84/339,553.92 = 78,624/x
  3. Step 3: Cross multiply
    226,371.84x = 339,553.92 × 78,624
  4. Step 4: Simplify right side
    226,371.84x = 26,697,087,406.08
  5. Step 5: Solve for x
    x = 26,697,087,406.08/226,371.84
  6. Step 6: Final answer
    x = 117,934.67

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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.