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Finding the Fourth Proportional to 267,408.14, 369,023.75 and 146,553.91

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Solution

The fourth proportional to 267,408.14, 369,023.75 and 146,553.91 is: 202,244.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,408.14 : 369,023.75 = 146,553.91 : x
  2. Step 2: Convert to fraction form
    267,408.14/369,023.75 = 146,553.91/x
  3. Step 3: Cross multiply
    267,408.14x = 369,023.75 × 146,553.91
  4. Step 4: Simplify right side
    267,408.14x = 54,081,872,339.61
  5. Step 5: Solve for x
    x = 54,081,872,339.61/267,408.14
  6. Step 6: Final answer
    x = 202,244.68

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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.