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Finding the Fourth Proportional to 179,651.52, 269,477.28 and 54,976.32

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Solution

The fourth proportional to 179,651.52, 269,477.28 and 54,976.32 is: 82,464.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,651.52 : 269,477.28 = 54,976.32 : x
  2. Step 2: Convert to fraction form
    179,651.52/269,477.28 = 54,976.32/x
  3. Step 3: Cross multiply
    179,651.52x = 269,477.28 × 54,976.32
  4. Step 4: Simplify right side
    179,651.52x = 14,814,869,178.01
  5. Step 5: Solve for x
    x = 14,814,869,178.01/179,651.52
  6. Step 6: Final answer
    x = 82,464.48

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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.