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Finding the Fourth Proportional to 226,199.84, 339,063.52 and 76,388.24

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Solution

The fourth proportional to 226,199.84, 339,063.52 and 76,388.24 is: 114,502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,199.84 : 339,063.52 = 76,388.24 : x
  2. Step 2: Convert to fraction form
    226,199.84/339,063.52 = 76,388.24/x
  3. Step 3: Cross multiply
    226,199.84x = 339,063.52 × 76,388.24
  4. Step 4: Simplify right side
    226,199.84x = 25,900,465,541.00
  5. Step 5: Solve for x
    x = 25,900,465,541.00/226,199.84
  6. Step 6: Final answer
    x = 114,502.58

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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.