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Finding the Fourth Proportional to 204,816.80, 306,706.80 and 163,344.80

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Solution

The fourth proportional to 204,816.80, 306,706.80 and 163,344.80 is: 244,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,816.80 : 306,706.80 = 163,344.80 : x
  2. Step 2: Convert to fraction form
    204,816.80/306,706.80 = 163,344.80/x
  3. Step 3: Cross multiply
    204,816.80x = 306,706.80 × 163,344.80
  4. Step 4: Simplify right side
    204,816.80x = 50,098,960,904.64
  5. Step 5: Solve for x
    x = 50,098,960,904.64/204,816.80
  6. Step 6: Final answer
    x = 244,603.77

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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.