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Finding the Fourth Proportional to 267,445.80, 401,193.93 and 75,319.44

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Solution

The fourth proportional to 267,445.80, 401,193.93 and 75,319.44 is: 112,986.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,445.80 : 401,193.93 = 75,319.44 : x
  2. Step 2: Convert to fraction form
    267,445.80/401,193.93 = 75,319.44/x
  3. Step 3: Cross multiply
    267,445.80x = 401,193.93 × 75,319.44
  4. Step 4: Simplify right side
    267,445.80x = 30,217,702,139.00
  5. Step 5: Solve for x
    x = 30,217,702,139.00/267,445.80
  6. Step 6: Final answer
    x = 112,986.27

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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.