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Finding the Fourth Proportional to 200,985.77, 277,361.13 and 110,351.03

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Solution

The fourth proportional to 200,985.77, 277,361.13 and 110,351.03 is: 152,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,985.77 : 277,361.13 = 110,351.03 : x
  2. Step 2: Convert to fraction form
    200,985.77/277,361.13 = 110,351.03/x
  3. Step 3: Cross multiply
    200,985.77x = 277,361.13 × 110,351.03
  4. Step 4: Simplify right side
    200,985.77x = 30,607,086,377.46
  5. Step 5: Solve for x
    x = 30,607,086,377.46/200,985.77
  6. Step 6: Final answer
    x = 152,284.84

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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.