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Finding the Fourth Proportional to 133,356.27, 200,054.30 and 49,109.97

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Solution

The fourth proportional to 133,356.27, 200,054.30 and 49,109.97 is: 73,672.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,356.27 : 200,054.30 = 49,109.97 : x
  2. Step 2: Convert to fraction form
    133,356.27/200,054.30 = 49,109.97/x
  3. Step 3: Cross multiply
    133,356.27x = 200,054.30 × 49,109.97
  4. Step 4: Simplify right side
    133,356.27x = 9,824,660,425.82
  5. Step 5: Solve for x
    x = 9,824,660,425.82/133,356.27
  6. Step 6: Final answer
    x = 73,672.28

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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.