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Finding the Fourth Proportional to 200,768.80, 277,059.04 and 110,122.88

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Solution

The fourth proportional to 200,768.80, 277,059.04 and 110,122.88 is: 151,968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,768.80 : 277,059.04 = 110,122.88 : x
  2. Step 2: Convert to fraction form
    200,768.80/277,059.04 = 110,122.88/x
  3. Step 3: Cross multiply
    200,768.80x = 277,059.04 × 110,122.88
  4. Step 4: Simplify right side
    200,768.80x = 30,510,539,414.84
  5. Step 5: Solve for x
    x = 30,510,539,414.84/200,768.80
  6. Step 6: Final answer
    x = 151,968.53

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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.