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Finding the Fourth Proportional to 267,261.76, 400,969.44 and 126,827.20

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Solution

The fourth proportional to 267,261.76, 400,969.44 and 126,827.20 is: 190,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,261.76 : 400,969.44 = 126,827.20 : x
  2. Step 2: Convert to fraction form
    267,261.76/400,969.44 = 126,827.20/x
  3. Step 3: Cross multiply
    267,261.76x = 400,969.44 × 126,827.20
  4. Step 4: Simplify right side
    267,261.76x = 50,853,831,360.77
  5. Step 5: Solve for x
    x = 50,853,831,360.77/267,261.76
  6. Step 6: Final answer
    x = 190,277.24

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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.