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Finding the Fourth Proportional to 200,781.54, 277,066.89 and 110,119.50

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Solution

The fourth proportional to 200,781.54, 277,066.89 and 110,119.50 is: 151,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,781.54 : 277,066.89 = 110,119.50 : x
  2. Step 2: Convert to fraction form
    200,781.54/277,066.89 = 110,119.50/x
  3. Step 3: Cross multiply
    200,781.54x = 277,066.89 × 110,119.50
  4. Step 4: Simplify right side
    200,781.54x = 30,510,467,393.36
  5. Step 5: Solve for x
    x = 30,510,467,393.36/200,781.54
  6. Step 6: Final answer
    x = 151,958.53

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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.