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Finding the Fourth Proportional to 197,785.96, 296,657.15 and 55,635.74

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Solution

The fourth proportional to 197,785.96, 296,657.15 and 55,635.74 is: 83,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,785.96 : 296,657.15 = 55,635.74 : x
  2. Step 2: Convert to fraction form
    197,785.96/296,657.15 = 55,635.74/x
  3. Step 3: Cross multiply
    197,785.96x = 296,657.15 × 55,635.74
  4. Step 4: Simplify right side
    197,785.96x = 16,504,740,890.78
  5. Step 5: Solve for x
    x = 16,504,740,890.78/197,785.96
  6. Step 6: Final answer
    x = 83,447.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.