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Finding the Fourth Proportional to 252,661.38, 378,563.83 and 152,611.37

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Solution

The fourth proportional to 252,661.38, 378,563.83 and 152,611.37 is: 228,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,661.38 : 378,563.83 = 152,611.37 : x
  2. Step 2: Convert to fraction form
    252,661.38/378,563.83 = 152,611.37/x
  3. Step 3: Cross multiply
    252,661.38x = 378,563.83 × 152,611.37
  4. Step 4: Simplify right side
    252,661.38x = 57,773,143,775.05
  5. Step 5: Solve for x
    x = 57,773,143,775.05/252,661.38
  6. Step 6: Final answer
    x = 228,658.39

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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.