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Finding the Fourth Proportional to 274,669.31, 411,843.56 and 116,816.51

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Solution

The fourth proportional to 274,669.31, 411,843.56 and 116,816.51 is: 175,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,669.31 : 411,843.56 = 116,816.51 : x
  2. Step 2: Convert to fraction form
    274,669.31/411,843.56 = 116,816.51/x
  3. Step 3: Cross multiply
    274,669.31x = 411,843.56 × 116,816.51
  4. Step 4: Simplify right side
    274,669.31x = 48,110,124,701.88
  5. Step 5: Solve for x
    x = 48,110,124,701.88/274,669.31
  6. Step 6: Final answer
    x = 175,156.54

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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.