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Finding the Fourth Proportional to 226,732.80, 339,710.40 and 147,806.40

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Solution

The fourth proportional to 226,732.80, 339,710.40 and 147,806.40 is: 221,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,732.80 : 339,710.40 = 147,806.40 : x
  2. Step 2: Convert to fraction form
    226,732.80/339,710.40 = 147,806.40/x
  3. Step 3: Cross multiply
    226,732.80x = 339,710.40 × 147,806.40
  4. Step 4: Simplify right side
    226,732.80x = 50,211,371,266.56
  5. Step 5: Solve for x
    x = 50,211,371,266.56/226,732.80
  6. Step 6: Final answer
    x = 221,456.14

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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.