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Finding the Fourth Proportional to 229,773.90, 344,450.76 and 96,663.57

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Solution

The fourth proportional to 229,773.90, 344,450.76 and 96,663.57 is: 144,906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,773.90 : 344,450.76 = 96,663.57 : x
  2. Step 2: Convert to fraction form
    229,773.90/344,450.76 = 96,663.57/x
  3. Step 3: Cross multiply
    229,773.90x = 344,450.76 × 96,663.57
  4. Step 4: Simplify right side
    229,773.90x = 33,295,840,150.81
  5. Step 5: Solve for x
    x = 33,295,840,150.81/229,773.90
  6. Step 6: Final answer
    x = 144,906.97

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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.