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Finding the Fourth Proportional to 197,671.96, 296,508.54 and 47,911.66

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Solution

The fourth proportional to 197,671.96, 296,508.54 and 47,911.66 is: 71,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,671.96 : 296,508.54 = 47,911.66 : x
  2. Step 2: Convert to fraction form
    197,671.96/296,508.54 = 47,911.66/x
  3. Step 3: Cross multiply
    197,671.96x = 296,508.54 × 47,911.66
  4. Step 4: Simplify right side
    197,671.96x = 14,206,216,355.58
  5. Step 5: Solve for x
    x = 14,206,216,355.58/197,671.96
  6. Step 6: Final answer
    x = 71,867.64

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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.