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Finding the Fourth Proportional to 200,736.68, 277,015.82 and 110,090.25

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Solution

The fourth proportional to 200,736.68, 277,015.82 and 110,090.25 is: 151,924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,736.68 : 277,015.82 = 110,090.25 : x
  2. Step 2: Convert to fraction form
    200,736.68/277,015.82 = 110,090.25/x
  3. Step 3: Cross multiply
    200,736.68x = 277,015.82 × 110,090.25
  4. Step 4: Simplify right side
    200,736.68x = 30,496,740,327.30
  5. Step 5: Solve for x
    x = 30,496,740,327.30/200,736.68
  6. Step 6: Final answer
    x = 151,924.11

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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.