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Finding the Fourth Proportional to 203,705.20, 305,557.80 and 161,714.80

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Solution

The fourth proportional to 203,705.20, 305,557.80 and 161,714.80 is: 242,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,705.20 : 305,557.80 = 161,714.80 : x
  2. Step 2: Convert to fraction form
    203,705.20/305,557.80 = 161,714.80/x
  3. Step 3: Cross multiply
    203,705.20x = 305,557.80 × 161,714.80
  4. Step 4: Simplify right side
    203,705.20x = 49,413,218,515.44
  5. Step 5: Solve for x
    x = 49,413,218,515.44/203,705.20
  6. Step 6: Final answer
    x = 242,572.20

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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.