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Finding the Fourth Proportional to 117,191.96, 175,641.74 and 57,170.96

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Solution

The fourth proportional to 117,191.96, 175,641.74 and 57,170.96 is: 85,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,191.96 : 175,641.74 = 57,170.96 : x
  2. Step 2: Convert to fraction form
    117,191.96/175,641.74 = 57,170.96/x
  3. Step 3: Cross multiply
    117,191.96x = 175,641.74 × 57,170.96
  4. Step 4: Simplify right side
    117,191.96x = 10,041,606,891.87
  5. Step 5: Solve for x
    x = 10,041,606,891.87/117,191.96
  6. Step 6: Final answer
    x = 85,685.12

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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.