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Finding the Fourth Proportional to 260,397, 359,350.02 and 141,165

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Solution

The fourth proportional to 260,397, 359,350.02 and 141,165 is: 194,808.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,397 : 359,350.02 = 141,165 : x
  2. Step 2: Convert to fraction form
    260,397/359,350.02 = 141,165/x
  3. Step 3: Cross multiply
    260,397x = 359,350.02 × 141,165
  4. Step 4: Simplify right side
    260,397x = 50,727,645,573.30
  5. Step 5: Solve for x
    x = 50,727,645,573.30/260,397
  6. Step 6: Final answer
    x = 194,808.87

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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.