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Finding the Fourth Proportional to 133,760.25, 200,721.89 and 53,783.22

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Solution

The fourth proportional to 133,760.25, 200,721.89 and 53,783.22 is: 80,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,760.25 : 200,721.89 = 53,783.22 : x
  2. Step 2: Convert to fraction form
    133,760.25/200,721.89 = 53,783.22/x
  3. Step 3: Cross multiply
    133,760.25x = 200,721.89 × 53,783.22
  4. Step 4: Simplify right side
    133,760.25x = 10,795,468,296.16
  5. Step 5: Solve for x
    x = 10,795,468,296.16/133,760.25
  6. Step 6: Final answer
    x = 80,707.60

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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.