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Finding the Fourth Proportional to 200,912.76, 301,359.24 and 74,577.60

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Solution

The fourth proportional to 200,912.76, 301,359.24 and 74,577.60 is: 111,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,912.76 : 301,359.24 = 74,577.60 : x
  2. Step 2: Convert to fraction form
    200,912.76/301,359.24 = 74,577.60/x
  3. Step 3: Cross multiply
    200,912.76x = 301,359.24 × 74,577.60
  4. Step 4: Simplify right side
    200,912.76x = 22,474,648,857.02
  5. Step 5: Solve for x
    x = 22,474,648,857.02/200,912.76
  6. Step 6: Final answer
    x = 111,862.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.