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Finding the Fourth Proportional to 219,806.34, 329,196.78 and 160,494.90

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Solution

The fourth proportional to 219,806.34, 329,196.78 and 160,494.90 is: 240,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,806.34 : 329,196.78 = 160,494.90 : x
  2. Step 2: Convert to fraction form
    219,806.34/329,196.78 = 160,494.90/x
  3. Step 3: Cross multiply
    219,806.34x = 329,196.78 × 160,494.90
  4. Step 4: Simplify right side
    219,806.34x = 52,834,404,286.42
  5. Step 5: Solve for x
    x = 52,834,404,286.42/219,806.34
  6. Step 6: Final answer
    x = 240,367.97

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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.