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Finding the Fourth Proportional to 260,286, 359,194.68 and 141,054

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Solution

The fourth proportional to 260,286, 359,194.68 and 141,054 is: 194,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,286 : 359,194.68 = 141,054 : x
  2. Step 2: Convert to fraction form
    260,286/359,194.68 = 141,054/x
  3. Step 3: Cross multiply
    260,286x = 359,194.68 × 141,054
  4. Step 4: Simplify right side
    260,286x = 50,665,846,392.72
  5. Step 5: Solve for x
    x = 50,665,846,392.72/260,286
  6. Step 6: Final answer
    x = 194,654.52

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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.