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Finding the Fourth Proportional to 229,765.92, 344,296.80 and 154,608

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Solution

The fourth proportional to 229,765.92, 344,296.80 and 154,608 is: 231,675.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,765.92 : 344,296.80 = 154,608 : x
  2. Step 2: Convert to fraction form
    229,765.92/344,296.80 = 154,608/x
  3. Step 3: Cross multiply
    229,765.92x = 344,296.80 × 154,608
  4. Step 4: Simplify right side
    229,765.92x = 53,231,039,654.40
  5. Step 5: Solve for x
    x = 53,231,039,654.40/229,765.92
  6. Step 6: Final answer
    x = 231,675.09

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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.