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Finding the Fourth Proportional to 267,873.30, 401,481.90 and 117,954.45

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Solution

The fourth proportional to 267,873.30, 401,481.90 and 117,954.45 is: 176,787.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,873.30 : 401,481.90 = 117,954.45 : x
  2. Step 2: Convert to fraction form
    267,873.30/401,481.90 = 117,954.45/x
  3. Step 3: Cross multiply
    267,873.30x = 401,481.90 × 117,954.45
  4. Step 4: Simplify right side
    267,873.30x = 47,356,576,699.46
  5. Step 5: Solve for x
    x = 47,356,576,699.46/267,873.30
  6. Step 6: Final answer
    x = 176,787.22

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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.