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Finding the Fourth Proportional to 260,701.13, 359,767.55 and 141,469.13

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Solution

The fourth proportional to 260,701.13, 359,767.55 and 141,469.13 is: 195,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,701.13 : 359,767.55 = 141,469.13 : x
  2. Step 2: Convert to fraction form
    260,701.13/359,767.55 = 141,469.13/x
  3. Step 3: Cross multiply
    260,701.13x = 359,767.55 × 141,469.13
  4. Step 4: Simplify right side
    260,701.13x = 50,896,000,855.57
  5. Step 5: Solve for x
    x = 50,896,000,855.57/260,701.13
  6. Step 6: Final answer
    x = 195,227.39

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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.