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Finding the Fourth Proportional to 275,787.71, 413,806.32 and 140,782.04

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Solution

The fourth proportional to 275,787.71, 413,806.32 and 140,782.04 is: 211,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,787.71 : 413,806.32 = 140,782.04 : x
  2. Step 2: Convert to fraction form
    275,787.71/413,806.32 = 140,782.04/x
  3. Step 3: Cross multiply
    275,787.71x = 413,806.32 × 140,782.04
  4. Step 4: Simplify right side
    275,787.71x = 58,256,497,894.49
  5. Step 5: Solve for x
    x = 58,256,497,894.49/275,787.71
  6. Step 6: Final answer
    x = 211,236.74

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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.