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Finding the Fourth Proportional to 221,056.94, 305,058.52 and 120,454.94

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Solution

The fourth proportional to 221,056.94, 305,058.52 and 120,454.94 is: 166,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,056.94 : 305,058.52 = 120,454.94 : x
  2. Step 2: Convert to fraction form
    221,056.94/305,058.52 = 120,454.94/x
  3. Step 3: Cross multiply
    221,056.94x = 305,058.52 × 120,454.94
  4. Step 4: Simplify right side
    221,056.94x = 36,745,803,595.52
  5. Step 5: Solve for x
    x = 36,745,803,595.52/221,056.94
  6. Step 6: Final answer
    x = 166,227.78

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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.