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Finding the Fourth Proportional to 260,620.84, 359,695.44 and 165,136.48

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Solution

The fourth proportional to 260,620.84, 359,695.44 and 165,136.48 is: 227,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,620.84 : 359,695.44 = 165,136.48 : x
  2. Step 2: Convert to fraction form
    260,620.84/359,695.44 = 165,136.48/x
  3. Step 3: Cross multiply
    260,620.84x = 359,695.44 × 165,136.48
  4. Step 4: Simplify right side
    260,620.84x = 59,398,838,833.65
  5. Step 5: Solve for x
    x = 59,398,838,833.65/260,620.84
  6. Step 6: Final answer
    x = 227,912.85

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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.