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Finding the Fourth Proportional to 229,597.20, 344,914.28 and 136,164.24

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Solution

The fourth proportional to 229,597.20, 344,914.28 and 136,164.24 is: 204,553.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,597.20 : 344,914.28 = 136,164.24 : x
  2. Step 2: Convert to fraction form
    229,597.20/344,914.28 = 136,164.24/x
  3. Step 3: Cross multiply
    229,597.20x = 344,914.28 × 136,164.24
  4. Step 4: Simplify right side
    229,597.20x = 46,964,990,801.35
  5. Step 5: Solve for x
    x = 46,964,990,801.35/229,597.20
  6. Step 6: Final answer
    x = 204,553.85

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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.