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Finding the Fourth Proportional to 260,472.92, 390,631.62 and 110,712.56

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Solution

The fourth proportional to 260,472.92, 390,631.62 and 110,712.56 is: 166,035.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,472.92 : 390,631.62 = 110,712.56 : x
  2. Step 2: Convert to fraction form
    260,472.92/390,631.62 = 110,712.56/x
  3. Step 3: Cross multiply
    260,472.92x = 390,631.62 × 110,712.56
  4. Step 4: Simplify right side
    260,472.92x = 43,247,826,667.15
  5. Step 5: Solve for x
    x = 43,247,826,667.15/260,472.92
  6. Step 6: Final answer
    x = 166,035.79

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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.