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Finding the Fourth Proportional to 201,382.52, 277,803.18 and 120,771.32

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Solution

The fourth proportional to 201,382.52, 277,803.18 and 120,771.32 is: 166,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,382.52 : 277,803.18 = 120,771.32 : x
  2. Step 2: Convert to fraction form
    201,382.52/277,803.18 = 120,771.32/x
  3. Step 3: Cross multiply
    201,382.52x = 277,803.18 × 120,771.32
  4. Step 4: Simplify right side
    201,382.52x = 33,550,656,748.80
  5. Step 5: Solve for x
    x = 33,550,656,748.80/201,382.52
  6. Step 6: Final answer
    x = 166,601.63

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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.