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Finding the Fourth Proportional to 179,768.64, 269,687.64 and 68,952

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Solution

The fourth proportional to 179,768.64, 269,687.64 and 68,952 is: 103,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,768.64 : 269,687.64 = 68,952 : x
  2. Step 2: Convert to fraction form
    179,768.64/269,687.64 = 68,952/x
  3. Step 3: Cross multiply
    179,768.64x = 269,687.64 × 68,952
  4. Step 4: Simplify right side
    179,768.64x = 18,595,502,153.28
  5. Step 5: Solve for x
    x = 18,595,502,153.28/179,768.64
  6. Step 6: Final answer
    x = 103,441.30

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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.