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Finding the Fourth Proportional to 229,892.58, 344,615.22 and 109,918.35

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Solution

The fourth proportional to 229,892.58, 344,615.22 and 109,918.35 is: 164,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,892.58 : 344,615.22 = 109,918.35 : x
  2. Step 2: Convert to fraction form
    229,892.58/344,615.22 = 109,918.35/x
  3. Step 3: Cross multiply
    229,892.58x = 344,615.22 × 109,918.35
  4. Step 4: Simplify right side
    229,892.58x = 37,879,536,367.29
  5. Step 5: Solve for x
    x = 37,879,536,367.29/229,892.58
  6. Step 6: Final answer
    x = 164,770.59

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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.