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Finding the Fourth Proportional to 201,365.82, 277,885.87 and 110,727.65

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Solution

The fourth proportional to 201,365.82, 277,885.87 and 110,727.65 is: 152,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,365.82 : 277,885.87 = 110,727.65 : x
  2. Step 2: Convert to fraction form
    201,365.82/277,885.87 = 110,727.65/x
  3. Step 3: Cross multiply
    201,365.82x = 277,885.87 × 110,727.65
  4. Step 4: Simplify right side
    201,365.82x = 30,769,649,771.20
  5. Step 5: Solve for x
    x = 30,769,649,771.20/201,365.82
  6. Step 6: Final answer
    x = 152,804.73

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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.