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Finding the Fourth Proportional to 252,314.43, 378,043.20 and 152,264.39

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Solution

The fourth proportional to 252,314.43, 378,043.20 and 152,264.39 is: 228,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,314.43 : 378,043.20 = 152,264.39 : x
  2. Step 2: Convert to fraction form
    252,314.43/378,043.20 = 152,264.39/x
  3. Step 3: Cross multiply
    252,314.43x = 378,043.20 × 152,264.39
  4. Step 4: Simplify right side
    252,314.43x = 57,562,517,241.65
  5. Step 5: Solve for x
    x = 57,562,517,241.65/252,314.43
  6. Step 6: Final answer
    x = 228,138.03

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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.