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Finding the Fourth Proportional to 252,318.94, 378,049.94 and 152,268.90

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Solution

The fourth proportional to 252,318.94, 378,049.94 and 152,268.90 is: 228,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,318.94 : 378,049.94 = 152,268.90 : x
  2. Step 2: Convert to fraction form
    252,318.94/378,049.94 = 152,268.90/x
  3. Step 3: Cross multiply
    252,318.94x = 378,049.94 × 152,268.90
  4. Step 4: Simplify right side
    252,318.94x = 57,565,248,508.87
  5. Step 5: Solve for x
    x = 57,565,248,508.87/252,318.94
  6. Step 6: Final answer
    x = 228,144.78

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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.