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Finding the Fourth Proportional to 200,868.90, 277,198.32 and 110,226.39

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Solution

The fourth proportional to 200,868.90, 277,198.32 and 110,226.39 is: 152,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,868.90 : 277,198.32 = 110,226.39 : x
  2. Step 2: Convert to fraction form
    200,868.90/277,198.32 = 110,226.39/x
  3. Step 3: Cross multiply
    200,868.90x = 277,198.32 × 110,226.39
  4. Step 4: Simplify right side
    200,868.90x = 30,554,570,127.66
  5. Step 5: Solve for x
    x = 30,554,570,127.66/200,868.90
  6. Step 6: Final answer
    x = 152,112.00

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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.