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Finding the Fourth Proportional to 332,856.42, 499,265.19 and 96,193.86

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Solution

The fourth proportional to 332,856.42, 499,265.19 and 96,193.86 is: 144,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,856.42 : 499,265.19 = 96,193.86 : x
  2. Step 2: Convert to fraction form
    332,856.42/499,265.19 = 96,193.86/x
  3. Step 3: Cross multiply
    332,856.42x = 499,265.19 × 96,193.86
  4. Step 4: Simplify right side
    332,856.42x = 48,026,245,789.73
  5. Step 5: Solve for x
    x = 48,026,245,789.73/332,856.42
  6. Step 6: Final answer
    x = 144,285.17

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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.