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Finding the Fourth Proportional to 260,769.31, 359,820.53 and 151,891.56

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Solution

The fourth proportional to 260,769.31, 359,820.53 and 151,891.56 is: 209,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,769.31 : 359,820.53 = 151,891.56 : x
  2. Step 2: Convert to fraction form
    260,769.31/359,820.53 = 151,891.56/x
  3. Step 3: Cross multiply
    260,769.31x = 359,820.53 × 151,891.56
  4. Step 4: Simplify right side
    260,769.31x = 54,653,701,621.73
  5. Step 5: Solve for x
    x = 54,653,701,621.73/260,769.31
  6. Step 6: Final answer
    x = 209,586.40

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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.