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Finding the Fourth Proportional to 117,205.66, 175,816.62 and 47,084.92

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Solution

The fourth proportional to 117,205.66, 175,816.62 and 47,084.92 is: 70,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,205.66 : 175,816.62 = 47,084.92 : x
  2. Step 2: Convert to fraction form
    117,205.66/175,816.62 = 47,084.92/x
  3. Step 3: Cross multiply
    117,205.66x = 175,816.62 × 47,084.92
  4. Step 4: Simplify right side
    117,205.66x = 8,278,311,487.37
  5. Step 5: Solve for x
    x = 8,278,311,487.37/117,205.66
  6. Step 6: Final answer
    x = 70,630.65

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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.