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Finding the Fourth Proportional to 219,472.83, 329,185.32 and 148,849.14

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Solution

The fourth proportional to 219,472.83, 329,185.32 and 148,849.14 is: 223,257.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,472.83 : 329,185.32 = 148,849.14 : x
  2. Step 2: Convert to fraction form
    219,472.83/329,185.32 = 148,849.14/x
  3. Step 3: Cross multiply
    219,472.83x = 329,185.32 × 148,849.14
  4. Step 4: Simplify right side
    219,472.83x = 48,998,951,782.62
  5. Step 5: Solve for x
    x = 48,998,951,782.62/219,472.83
  6. Step 6: Final answer
    x = 223,257.48

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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.