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Finding the Fourth Proportional to 267,408.48, 369,028.44 and 146,541.72

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Solution

The fourth proportional to 267,408.48, 369,028.44 and 146,541.72 is: 202,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,408.48 : 369,028.44 = 146,541.72 : x
  2. Step 2: Convert to fraction form
    267,408.48/369,028.44 = 146,541.72/x
  3. Step 3: Cross multiply
    267,408.48x = 369,028.44 × 146,541.72
  4. Step 4: Simplify right side
    267,408.48x = 54,078,062,326.52
  5. Step 5: Solve for x
    x = 54,078,062,326.52/267,408.48
  6. Step 6: Final answer
    x = 202,230.17

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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.