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Finding the Fourth Proportional to 267,580.80, 401,241.60 and 149,126.40

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Solution

The fourth proportional to 267,580.80, 401,241.60 and 149,126.40 is: 223,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,580.80 : 401,241.60 = 149,126.40 : x
  2. Step 2: Convert to fraction form
    267,580.80/401,241.60 = 149,126.40/x
  3. Step 3: Cross multiply
    267,580.80x = 401,241.60 × 149,126.40
  4. Step 4: Simplify right side
    267,580.80x = 59,835,715,338.24
  5. Step 5: Solve for x
    x = 59,835,715,338.24/267,580.80
  6. Step 6: Final answer
    x = 223,617.37

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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.