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Finding the Fourth Proportional to 267,620.80, 401,301.60 and 149,166.40

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Solution

The fourth proportional to 267,620.80, 401,301.60 and 149,166.40 is: 223,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,620.80 : 401,301.60 = 149,166.40 : x
  2. Step 2: Convert to fraction form
    267,620.80/401,301.60 = 149,166.40/x
  3. Step 3: Cross multiply
    267,620.80x = 401,301.60 × 149,166.40
  4. Step 4: Simplify right side
    267,620.80x = 59,860,714,986.24
  5. Step 5: Solve for x
    x = 59,860,714,986.24/267,620.80
  6. Step 6: Final answer
    x = 223,677.36

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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.