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Finding the Fourth Proportional to 260,709.25, 359,778.77 and 141,477.25

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Solution

The fourth proportional to 260,709.25, 359,778.77 and 141,477.25 is: 195,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,709.25 : 359,778.77 = 141,477.25 : x
  2. Step 2: Convert to fraction form
    260,709.25/359,778.77 = 141,477.25/x
  3. Step 3: Cross multiply
    260,709.25x = 359,778.77 × 141,477.25
  4. Step 4: Simplify right side
    260,709.25x = 50,900,510,987.98
  5. Step 5: Solve for x
    x = 50,900,510,987.98/260,709.25
  6. Step 6: Final answer
    x = 195,238.61

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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.