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Finding the Fourth Proportional to 192,490.56, 288,735.76 and 52,269.76

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Solution

The fourth proportional to 192,490.56, 288,735.76 and 52,269.76 is: 78,404.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,490.56 : 288,735.76 = 52,269.76 : x
  2. Step 2: Convert to fraction form
    192,490.56/288,735.76 = 52,269.76/x
  3. Step 3: Cross multiply
    192,490.56x = 288,735.76 × 52,269.76
  4. Step 4: Simplify right side
    192,490.56x = 15,092,148,878.62
  5. Step 5: Solve for x
    x = 15,092,148,878.62/192,490.56
  6. Step 6: Final answer
    x = 78,404.62

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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.