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Finding the Fourth Proportional to 201,296.85, 277,800.35 and 120,727.77

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Solution

The fourth proportional to 201,296.85, 277,800.35 and 120,727.77 is: 166,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,296.85 : 277,800.35 = 120,727.77 : x
  2. Step 2: Convert to fraction form
    201,296.85/277,800.35 = 120,727.77/x
  3. Step 3: Cross multiply
    201,296.85x = 277,800.35 × 120,727.77
  4. Step 4: Simplify right side
    201,296.85x = 33,538,216,157.08
  5. Step 5: Solve for x
    x = 33,538,216,157.08/201,296.85
  6. Step 6: Final answer
    x = 166,610.74

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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.