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Finding the Fourth Proportional to 200,919.36, 277,277.40 and 120,360

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Solution

The fourth proportional to 200,919.36, 277,277.40 and 120,360 is: 166,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,919.36 : 277,277.40 = 120,360 : x
  2. Step 2: Convert to fraction form
    200,919.36/277,277.40 = 120,360/x
  3. Step 3: Cross multiply
    200,919.36x = 277,277.40 × 120,360
  4. Step 4: Simplify right side
    200,919.36x = 33,373,107,864.00
  5. Step 5: Solve for x
    x = 33,373,107,864.00/200,919.36
  6. Step 6: Final answer
    x = 166,102.00

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