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Finding the Fourth Proportional to 229,858.56, 344,543.76 and 111,367.44

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Solution

The fourth proportional to 229,858.56, 344,543.76 and 111,367.44 is: 166,932.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,858.56 : 344,543.76 = 111,367.44 : x
  2. Step 2: Convert to fraction form
    229,858.56/344,543.76 = 111,367.44/x
  3. Step 3: Cross multiply
    229,858.56x = 344,543.76 × 111,367.44
  4. Step 4: Simplify right side
    229,858.56x = 38,370,956,519.17
  5. Step 5: Solve for x
    x = 38,370,956,519.17/229,858.56
  6. Step 6: Final answer
    x = 166,932.90

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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.