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Finding the Fourth Proportional to 201,229.94, 277,698.63 and 110,593.37

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Solution

The fourth proportional to 201,229.94, 277,698.63 and 110,593.37 is: 152,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,229.94 : 277,698.63 = 110,593.37 : x
  2. Step 2: Convert to fraction form
    201,229.94/277,698.63 = 110,593.37/x
  3. Step 3: Cross multiply
    201,229.94x = 277,698.63 × 110,593.37
  4. Step 4: Simplify right side
    201,229.94x = 30,711,625,947.59
  5. Step 5: Solve for x
    x = 30,711,625,947.59/201,229.94
  6. Step 6: Final answer
    x = 152,619.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.