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Finding the Fourth Proportional to 221,038.75, 305,033.52 and 120,436.75

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Solution

The fourth proportional to 221,038.75, 305,033.52 and 120,436.75 is: 166,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,038.75 : 305,033.52 = 120,436.75 : x
  2. Step 2: Convert to fraction form
    221,038.75/305,033.52 = 120,436.75/x
  3. Step 3: Cross multiply
    221,038.75x = 305,033.52 × 120,436.75
  4. Step 4: Simplify right side
    221,038.75x = 36,737,245,789.86
  5. Step 5: Solve for x
    x = 36,737,245,789.86/221,038.75
  6. Step 6: Final answer
    x = 166,202.74

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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.