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Finding the Fourth Proportional to 226,740.80, 339,722.40 and 147,814.40

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Solution

The fourth proportional to 226,740.80, 339,722.40 and 147,814.40 is: 221,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,740.80 : 339,722.40 = 147,814.40 : x
  2. Step 2: Convert to fraction form
    226,740.80/339,722.40 = 147,814.40/x
  3. Step 3: Cross multiply
    226,740.80x = 339,722.40 × 147,814.40
  4. Step 4: Simplify right side
    226,740.80x = 50,215,862,722.56
  5. Step 5: Solve for x
    x = 50,215,862,722.56/226,740.80
  6. Step 6: Final answer
    x = 221,468.14

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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.