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Finding the Fourth Proportional to 267,096.74, 368,579.49 and 146,214.87

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Solution

The fourth proportional to 267,096.74, 368,579.49 and 146,214.87 is: 201,768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,096.74 : 368,579.49 = 146,214.87 : x
  2. Step 2: Convert to fraction form
    267,096.74/368,579.49 = 146,214.87/x
  3. Step 3: Cross multiply
    267,096.74x = 368,579.49 × 146,214.87
  4. Step 4: Simplify right side
    267,096.74x = 53,891,802,215.02
  5. Step 5: Solve for x
    x = 53,891,802,215.02/267,096.74
  6. Step 6: Final answer
    x = 201,768.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.