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Finding the Fourth Proportional to 205,586.34, 308,496.15 and 81,014.82

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Solution

The fourth proportional to 205,586.34, 308,496.15 and 81,014.82 is: 121,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,586.34 : 308,496.15 = 81,014.82 : x
  2. Step 2: Convert to fraction form
    205,586.34/308,496.15 = 81,014.82/x
  3. Step 3: Cross multiply
    205,586.34x = 308,496.15 × 81,014.82
  4. Step 4: Simplify right side
    205,586.34x = 24,992,760,062.94
  5. Step 5: Solve for x
    x = 24,992,760,062.94/205,586.34
  6. Step 6: Final answer
    x = 121,568.19

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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.