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Finding the Fourth Proportional to 202,286.40, 303,429.60 and 164,232.60

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Solution

The fourth proportional to 202,286.40, 303,429.60 and 164,232.60 is: 246,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,286.40 : 303,429.60 = 164,232.60 : x
  2. Step 2: Convert to fraction form
    202,286.40/303,429.60 = 164,232.60/x
  3. Step 3: Cross multiply
    202,286.40x = 303,429.60 × 164,232.60
  4. Step 4: Simplify right side
    202,286.40x = 49,833,032,124.96
  5. Step 5: Solve for x
    x = 49,833,032,124.96/202,286.40
  6. Step 6: Final answer
    x = 246,348.90

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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.