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Finding the Fourth Proportional to 267,506.44, 401,261.20 and 67,827.26

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Solution

The fourth proportional to 267,506.44, 401,261.20 and 67,827.26 is: 101,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,506.44 : 401,261.20 = 67,827.26 : x
  2. Step 2: Convert to fraction form
    267,506.44/401,261.20 = 67,827.26/x
  3. Step 3: Cross multiply
    267,506.44x = 401,261.20 × 67,827.26
  4. Step 4: Simplify right side
    267,506.44x = 27,216,447,740.31
  5. Step 5: Solve for x
    x = 27,216,447,740.31/267,506.44
  6. Step 6: Final answer
    x = 101,741.28

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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.