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Finding the Fourth Proportional to 267,201.60, 400,024.80 and 161,966.40

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Solution

The fourth proportional to 267,201.60, 400,024.80 and 161,966.40 is: 242,478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,201.60 : 400,024.80 = 161,966.40 : x
  2. Step 2: Convert to fraction form
    267,201.60/400,024.80 = 161,966.40/x
  3. Step 3: Cross multiply
    267,201.60x = 400,024.80 × 161,966.40
  4. Step 4: Simplify right side
    267,201.60x = 64,790,576,766.72
  5. Step 5: Solve for x
    x = 64,790,576,766.72/267,201.60
  6. Step 6: Final answer
    x = 242,478.25

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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.