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Finding the Fourth Proportional to 267,422.82, 369,046.32 and 146,561.43

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Solution

The fourth proportional to 267,422.82, 369,046.32 and 146,561.43 is: 202,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,422.82 : 369,046.32 = 146,561.43 : x
  2. Step 2: Convert to fraction form
    267,422.82/369,046.32 = 146,561.43/x
  3. Step 3: Cross multiply
    267,422.82x = 369,046.32 × 146,561.43
  4. Step 4: Simplify right side
    267,422.82x = 54,087,956,395.44
  5. Step 5: Solve for x
    x = 54,087,956,395.44/267,422.82
  6. Step 6: Final answer
    x = 202,256.32

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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.