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Finding the Fourth Proportional to 260,768.31, 359,819.15 and 151,890.56

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Solution

The fourth proportional to 260,768.31, 359,819.15 and 151,890.56 is: 209,585.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,768.31 : 359,819.15 = 151,890.56 : x
  2. Step 2: Convert to fraction form
    260,768.31/359,819.15 = 151,890.56/x
  3. Step 3: Cross multiply
    260,768.31x = 359,819.15 × 151,890.56
  4. Step 4: Simplify right side
    260,768.31x = 54,653,131,837.38
  5. Step 5: Solve for x
    x = 54,653,131,837.38/260,768.31
  6. Step 6: Final answer
    x = 209,585.02

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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.