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Finding the Fourth Proportional to 267,661.43, 369,383.13 and 146,807.81

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Solution

The fourth proportional to 267,661.43, 369,383.13 and 146,807.81 is: 202,600.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,661.43 : 369,383.13 = 146,807.81 : x
  2. Step 2: Convert to fraction form
    267,661.43/369,383.13 = 146,807.81/x
  3. Step 3: Cross multiply
    267,661.43x = 369,383.13 × 146,807.81
  4. Step 4: Simplify right side
    267,661.43x = 54,228,328,922.68
  5. Step 5: Solve for x
    x = 54,228,328,922.68/267,661.43
  6. Step 6: Final answer
    x = 202,600.46

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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.