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Finding the Fourth Proportional to 469,092.26, 703,638.59 and 114,104.09

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Solution

The fourth proportional to 469,092.26, 703,638.59 and 114,104.09 is: 171,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,092.26 : 703,638.59 = 114,104.09 : x
  2. Step 2: Convert to fraction form
    469,092.26/703,638.59 = 114,104.09/x
  3. Step 3: Cross multiply
    469,092.26x = 703,638.59 × 114,104.09
  4. Step 4: Simplify right side
    469,092.26x = 80,288,036,912.12
  5. Step 5: Solve for x
    x = 80,288,036,912.12/469,092.26
  6. Step 6: Final answer
    x = 171,156.18

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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.