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Finding the Fourth Proportional to 260,350, 359,283 and 141,118

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Solution

The fourth proportional to 260,350, 359,283 and 141,118 is: 194,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,350 : 359,283 = 141,118 : x
  2. Step 2: Convert to fraction form
    260,350/359,283 = 141,118/x
  3. Step 3: Cross multiply
    260,350x = 359,283 × 141,118
  4. Step 4: Simplify right side
    260,350x = 50,701,298,394
  5. Step 5: Solve for x
    x = 50,701,298,394/260,350
  6. Step 6: Final answer
    x = 194,742.84

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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.