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Finding the Fourth Proportional to 143,286.76, 197,685.32 and 85,944.65

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Solution

The fourth proportional to 143,286.76, 197,685.32 and 85,944.65 is: 118,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,286.76 : 197,685.32 = 85,944.65 : x
  2. Step 2: Convert to fraction form
    143,286.76/197,685.32 = 85,944.65/x
  3. Step 3: Cross multiply
    143,286.76x = 197,685.32 × 85,944.65
  4. Step 4: Simplify right side
    143,286.76x = 16,989,994,219.39
  5. Step 5: Solve for x
    x = 16,989,994,219.39/143,286.76
  6. Step 6: Final answer
    x = 118,573.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.