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Finding the Fourth Proportional to 200,757.84, 277,063.60 and 110,131.48

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Solution

The fourth proportional to 200,757.84, 277,063.60 and 110,131.48 is: 151,991.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,757.84 : 277,063.60 = 110,131.48 : x
  2. Step 2: Convert to fraction form
    200,757.84/277,063.60 = 110,131.48/x
  3. Step 3: Cross multiply
    200,757.84x = 277,063.60 × 110,131.48
  4. Step 4: Simplify right side
    200,757.84x = 30,513,424,322.13
  5. Step 5: Solve for x
    x = 30,513,424,322.13/200,757.84
  6. Step 6: Final answer
    x = 151,991.20

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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.