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Finding the Fourth Proportional to 201,297.10, 277,800.69 and 120,728.02

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Solution

The fourth proportional to 201,297.10, 277,800.69 and 120,728.02 is: 166,611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,297.10 : 277,800.69 = 120,728.02 : x
  2. Step 2: Convert to fraction form
    201,297.10/277,800.69 = 120,728.02/x
  3. Step 3: Cross multiply
    201,297.10x = 277,800.69 × 120,728.02
  4. Step 4: Simplify right side
    201,297.10x = 33,538,327,258.33
  5. Step 5: Solve for x
    x = 33,538,327,258.33/201,297.10
  6. Step 6: Final answer
    x = 166,611.08

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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.