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Finding the Fourth Proportional to 205,595.32, 308,462.99 and 110,834.66

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Solution

The fourth proportional to 205,595.32, 308,462.99 and 110,834.66 is: 166,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,595.32 : 308,462.99 = 110,834.66 : x
  2. Step 2: Convert to fraction form
    205,595.32/308,462.99 = 110,834.66/x
  3. Step 3: Cross multiply
    205,595.32x = 308,462.99 × 110,834.66
  4. Step 4: Simplify right side
    205,595.32x = 34,188,390,236.27
  5. Step 5: Solve for x
    x = 34,188,390,236.27/205,595.32
  6. Step 6: Final answer
    x = 166,289.73

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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.