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Finding the Fourth Proportional to 260,658.56, 359,709.63 and 145,942.04

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Solution

The fourth proportional to 260,658.56, 359,709.63 and 145,942.04 is: 201,400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,658.56 : 359,709.63 = 145,942.04 : x
  2. Step 2: Convert to fraction form
    260,658.56/359,709.63 = 145,942.04/x
  3. Step 3: Cross multiply
    260,658.56x = 359,709.63 × 145,942.04
  4. Step 4: Simplify right side
    260,658.56x = 52,496,757,209.85
  5. Step 5: Solve for x
    x = 52,496,757,209.85/260,658.56
  6. Step 6: Final answer
    x = 201,400.47

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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.