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Finding the Fourth Proportional to 109,687.62, 164,510.61 and 53,471.19

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Solution

The fourth proportional to 109,687.62, 164,510.61 and 53,471.19 is: 80,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,687.62 : 164,510.61 = 53,471.19 : x
  2. Step 2: Convert to fraction form
    109,687.62/164,510.61 = 53,471.19/x
  3. Step 3: Cross multiply
    109,687.62x = 164,510.61 × 53,471.19
  4. Step 4: Simplify right side
    109,687.62x = 8,796,578,084.33
  5. Step 5: Solve for x
    x = 8,796,578,084.33/109,687.62
  6. Step 6: Final answer
    x = 80,196.64

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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.