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Finding the Fourth Proportional to 267,104, 368,615.68 and 147,872

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Solution

The fourth proportional to 267,104, 368,615.68 and 147,872 is: 204,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,104 : 368,615.68 = 147,872 : x
  2. Step 2: Convert to fraction form
    267,104/368,615.68 = 147,872/x
  3. Step 3: Cross multiply
    267,104x = 368,615.68 × 147,872
  4. Step 4: Simplify right side
    267,104x = 54,507,937,832.96
  5. Step 5: Solve for x
    x = 54,507,937,832.96/267,104
  6. Step 6: Final answer
    x = 204,070.09

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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.