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Finding the Fourth Proportional to 180,990.72, 271,644.48 and 96,817.92

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Solution

The fourth proportional to 180,990.72, 271,644.48 and 96,817.92 is: 145,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,990.72 : 271,644.48 = 96,817.92 : x
  2. Step 2: Convert to fraction form
    180,990.72/271,644.48 = 96,817.92/x
  3. Step 3: Cross multiply
    180,990.72x = 271,644.48 × 96,817.92
  4. Step 4: Simplify right side
    180,990.72x = 26,300,053,533.08
  5. Step 5: Solve for x
    x = 26,300,053,533.08/180,990.72
  6. Step 6: Final answer
    x = 145,311.61

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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.