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Finding the Fourth Proportional to 200,794.96, 277,100.73 and 110,155.56

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Solution

The fourth proportional to 200,794.96, 277,100.73 and 110,155.56 is: 152,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,794.96 : 277,100.73 = 110,155.56 : x
  2. Step 2: Convert to fraction form
    200,794.96/277,100.73 = 110,155.56/x
  3. Step 3: Cross multiply
    200,794.96x = 277,100.73 × 110,155.56
  4. Step 4: Simplify right side
    200,794.96x = 30,524,185,050.43
  5. Step 5: Solve for x
    x = 30,524,185,050.43/200,794.96
  6. Step 6: Final answer
    x = 152,016.69

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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.