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Finding the Fourth Proportional to 199,907.73, 275,872.91 and 115,041.33

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Solution

The fourth proportional to 199,907.73, 275,872.91 and 115,041.33 is: 158,757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,907.73 : 275,872.91 = 115,041.33 : x
  2. Step 2: Convert to fraction form
    199,907.73/275,872.91 = 115,041.33/x
  3. Step 3: Cross multiply
    199,907.73x = 275,872.91 × 115,041.33
  4. Step 4: Simplify right side
    199,907.73x = 31,736,785,902.16
  5. Step 5: Solve for x
    x = 31,736,785,902.16/199,907.73
  6. Step 6: Final answer
    x = 158,757.17

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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.