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Finding the Fourth Proportional to 219,974.96, 329,946.03 and 75,866.69

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Solution

The fourth proportional to 219,974.96, 329,946.03 and 75,866.69 is: 113,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,974.96 : 329,946.03 = 75,866.69 : x
  2. Step 2: Convert to fraction form
    219,974.96/329,946.03 = 75,866.69/x
  3. Step 3: Cross multiply
    219,974.96x = 329,946.03 × 75,866.69
  4. Step 4: Simplify right side
    219,974.96x = 25,031,913,999.61
  5. Step 5: Solve for x
    x = 25,031,913,999.61/219,974.96
  6. Step 6: Final answer
    x = 113,794.38

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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.