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Finding the Fourth Proportional to 260,743.47, 359,826.14 and 141,511.47

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Solution

The fourth proportional to 260,743.47, 359,826.14 and 141,511.47 is: 195,285.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,743.47 : 359,826.14 = 141,511.47 : x
  2. Step 2: Convert to fraction form
    260,743.47/359,826.14 = 141,511.47/x
  3. Step 3: Cross multiply
    260,743.47x = 359,826.14 × 141,511.47
  4. Step 4: Simplify right side
    260,743.47x = 50,919,525,308.27
  5. Step 5: Solve for x
    x = 50,919,525,308.27/260,743.47
  6. Step 6: Final answer
    x = 195,285.91

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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.