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Finding the Fourth Proportional to 200,906.75, 277,251.36 and 111,482.75

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Solution

The fourth proportional to 200,906.75, 277,251.36 and 111,482.75 is: 153,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,906.75 : 277,251.36 = 111,482.75 : x
  2. Step 2: Convert to fraction form
    200,906.75/277,251.36 = 111,482.75/x
  3. Step 3: Cross multiply
    200,906.75x = 277,251.36 × 111,482.75
  4. Step 4: Simplify right side
    200,906.75x = 30,908,744,054.04
  5. Step 5: Solve for x
    x = 30,908,744,054.04/200,906.75
  6. Step 6: Final answer
    x = 153,846.22

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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.