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Finding the Fourth Proportional to 220,896.72, 305,017.25 and 180,067.25

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Solution

The fourth proportional to 220,896.72, 305,017.25 and 180,067.25 is: 248,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,896.72 : 305,017.25 = 180,067.25 : x
  2. Step 2: Convert to fraction form
    220,896.72/305,017.25 = 180,067.25/x
  3. Step 3: Cross multiply
    220,896.72x = 305,017.25 × 180,067.25
  4. Step 4: Simplify right side
    220,896.72x = 54,923,617,272.27
  5. Step 5: Solve for x
    x = 54,923,617,272.27/220,896.72
  6. Step 6: Final answer
    x = 248,639.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.