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Finding the Fourth Proportional to 200,734.84, 277,014.09 and 111,310.84

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Solution

The fourth proportional to 200,734.84, 277,014.09 and 111,310.84 is: 153,608.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,734.84 : 277,014.09 = 111,310.84 : x
  2. Step 2: Convert to fraction form
    200,734.84/277,014.09 = 111,310.84/x
  3. Step 3: Cross multiply
    200,734.84x = 277,014.09 × 111,310.84
  4. Step 4: Simplify right side
    200,734.84x = 30,834,671,049.74
  5. Step 5: Solve for x
    x = 30,834,671,049.74/200,734.84
  6. Step 6: Final answer
    x = 153,608.97

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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.