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Finding the Fourth Proportional to 229,299.52, 344,082.12 and 96,167.92

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Solution

The fourth proportional to 229,299.52, 344,082.12 and 96,167.92 is: 144,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,299.52 : 344,082.12 = 96,167.92 : x
  2. Step 2: Convert to fraction form
    229,299.52/344,082.12 = 96,167.92/x
  3. Step 3: Cross multiply
    229,299.52x = 344,082.12 × 96,167.92
  4. Step 4: Simplify right side
    229,299.52x = 33,089,661,789.59
  5. Step 5: Solve for x
    x = 33,089,661,789.59/229,299.52
  6. Step 6: Final answer
    x = 144,307.59

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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.