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Finding the Fourth Proportional to 260,709, 359,778.44 and 141,477

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Solution

The fourth proportional to 260,709, 359,778.44 and 141,477 is: 195,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,709 : 359,778.44 = 141,477 : x
  2. Step 2: Convert to fraction form
    260,709/359,778.44 = 141,477/x
  3. Step 3: Cross multiply
    260,709x = 359,778.44 × 141,477
  4. Step 4: Simplify right side
    260,709x = 50,900,374,355.88
  5. Step 5: Solve for x
    x = 50,900,374,355.88/260,709
  6. Step 6: Final answer
    x = 195,238.27

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Why These Related Problems?

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