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Finding the Fourth Proportional to 260,441, 359,408.58 and 141,209

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Solution

The fourth proportional to 260,441, 359,408.58 and 141,209 is: 194,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,441 : 359,408.58 = 141,209 : x
  2. Step 2: Convert to fraction form
    260,441/359,408.58 = 141,209/x
  3. Step 3: Cross multiply
    260,441x = 359,408.58 × 141,209
  4. Step 4: Simplify right side
    260,441x = 50,751,726,173.22
  5. Step 5: Solve for x
    x = 50,751,726,173.22/260,441
  6. Step 6: Final answer
    x = 194,868.42

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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.