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Finding the Fourth Proportional to 260,338.94, 359,262.97 and 147,161.69

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Solution

The fourth proportional to 260,338.94, 359,262.97 and 147,161.69 is: 203,080.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,338.94 : 359,262.97 = 147,161.69 : x
  2. Step 2: Convert to fraction form
    260,338.94/359,262.97 = 147,161.69/x
  3. Step 3: Cross multiply
    260,338.94x = 359,262.97 × 147,161.69
  4. Step 4: Simplify right side
    260,338.94x = 52,869,745,819.62
  5. Step 5: Solve for x
    x = 52,869,745,819.62/260,338.94
  6. Step 6: Final answer
    x = 203,080.44

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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.