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Finding the Fourth Proportional to 267,059.90, 400,688.26 and 140,695.04

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Solution

The fourth proportional to 267,059.90, 400,688.26 and 140,695.04 is: 211,094.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,059.90 : 400,688.26 = 140,695.04 : x
  2. Step 2: Convert to fraction form
    267,059.90/400,688.26 = 140,695.04/x
  3. Step 3: Cross multiply
    267,059.90x = 400,688.26 × 140,695.04
  4. Step 4: Simplify right side
    267,059.90x = 56,374,850,768.23
  5. Step 5: Solve for x
    x = 56,374,850,768.23/267,059.90
  6. Step 6: Final answer
    x = 211,094.41

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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.