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Finding the Fourth Proportional to 305,193.57, 421,149.96 and 169,219.41

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Solution

The fourth proportional to 305,193.57, 421,149.96 and 169,219.41 is: 233,513.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,193.57 : 421,149.96 = 169,219.41 : x
  2. Step 2: Convert to fraction form
    305,193.57/421,149.96 = 169,219.41/x
  3. Step 3: Cross multiply
    305,193.57x = 421,149.96 × 169,219.41
  4. Step 4: Simplify right side
    305,193.57x = 71,266,747,752.72
  5. Step 5: Solve for x
    x = 71,266,747,752.72/305,193.57
  6. Step 6: Final answer
    x = 233,513.27

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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.