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Finding the Fourth Proportional to 260,672.34, 359,727.66 and 141,440.34

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Solution

The fourth proportional to 260,672.34, 359,727.66 and 141,440.34 is: 195,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,672.34 : 359,727.66 = 141,440.34 : x
  2. Step 2: Convert to fraction form
    260,672.34/359,727.66 = 141,440.34/x
  3. Step 3: Cross multiply
    260,672.34x = 359,727.66 × 141,440.34
  4. Step 4: Simplify right side
    260,672.34x = 50,880,002,537.80
  5. Step 5: Solve for x
    x = 50,880,002,537.80/260,672.34
  6. Step 6: Final answer
    x = 195,187.58

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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.