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Finding the Fourth Proportional to 182,851.64, 274,178.84 and 82,957.33

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Solution

The fourth proportional to 182,851.64, 274,178.84 and 82,957.33 is: 124,391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,851.64 : 274,178.84 = 82,957.33 : x
  2. Step 2: Convert to fraction form
    182,851.64/274,178.84 = 82,957.33/x
  3. Step 3: Cross multiply
    182,851.64x = 274,178.84 × 82,957.33
  4. Step 4: Simplify right side
    182,851.64x = 22,745,144,436.83
  5. Step 5: Solve for x
    x = 22,745,144,436.83/182,851.64
  6. Step 6: Final answer
    x = 124,391.25

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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.