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Finding the Fourth Proportional to 229,797.80, 344,696.16 and 109,489.56

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Solution

The fourth proportional to 229,797.80, 344,696.16 and 109,489.56 is: 164,234.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,797.80 : 344,696.16 = 109,489.56 : x
  2. Step 2: Convert to fraction form
    229,797.80/344,696.16 = 109,489.56/x
  3. Step 3: Cross multiply
    229,797.80x = 344,696.16 × 109,489.56
  4. Step 4: Simplify right side
    229,797.80x = 37,740,630,892.09
  5. Step 5: Solve for x
    x = 37,740,630,892.09/229,797.80
  6. Step 6: Final answer
    x = 164,234.08

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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.