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Finding the Fourth Proportional to 260,856, 359,982.72 and 141,624

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Solution

The fourth proportional to 260,856, 359,982.72 and 141,624 is: 195,441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,856 : 359,982.72 = 141,624 : x
  2. Step 2: Convert to fraction form
    260,856/359,982.72 = 141,624/x
  3. Step 3: Cross multiply
    260,856x = 359,982.72 × 141,624
  4. Step 4: Simplify right side
    260,856x = 50,982,192,737.28
  5. Step 5: Solve for x
    x = 50,982,192,737.28/260,856
  6. Step 6: Final answer
    x = 195,441.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.