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Finding the Fourth Proportional to 260,725.32, 390,977.82 and 110,959.56

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Solution

The fourth proportional to 260,725.32, 390,977.82 and 110,959.56 is: 166,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,725.32 : 390,977.82 = 110,959.56 : x
  2. Step 2: Convert to fraction form
    260,725.32/390,977.82 = 110,959.56/x
  3. Step 3: Cross multiply
    260,725.32x = 390,977.82 × 110,959.56
  4. Step 4: Simplify right side
    260,725.32x = 43,382,726,876.96
  5. Step 5: Solve for x
    x = 43,382,726,876.96/260,725.32
  6. Step 6: Final answer
    x = 166,392.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.