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Finding the Fourth Proportional to 146,947, 202,803.96 and 82,434.04

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Solution

The fourth proportional to 146,947, 202,803.96 and 82,434.04 is: 113,768.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,947 : 202,803.96 = 82,434.04 : x
  2. Step 2: Convert to fraction form
    146,947/202,803.96 = 82,434.04/x
  3. Step 3: Cross multiply
    146,947x = 202,803.96 × 82,434.04
  4. Step 4: Simplify right side
    146,947x = 16,717,949,750.80
  5. Step 5: Solve for x
    x = 16,717,949,750.80/146,947
  6. Step 6: Final answer
    x = 113,768.57

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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.