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Finding the Fourth Proportional to 179,853.50, 269,784.56 and 61,524.02

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Solution

The fourth proportional to 179,853.50, 269,784.56 and 61,524.02 is: 92,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,853.50 : 269,784.56 = 61,524.02 : x
  2. Step 2: Convert to fraction form
    179,853.50/269,784.56 = 61,524.02/x
  3. Step 3: Cross multiply
    179,853.50x = 269,784.56 × 61,524.02
  4. Step 4: Simplify right side
    179,853.50x = 16,598,229,470.02
  5. Step 5: Solve for x
    x = 16,598,229,470.02/179,853.50
  6. Step 6: Final answer
    x = 92,287.50

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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.