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Finding the Fourth Proportional to 267,914.24, 369,726.42 and 147,066.77

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Solution

The fourth proportional to 267,914.24, 369,726.42 and 147,066.77 is: 202,954.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,914.24 : 369,726.42 = 147,066.77 : x
  2. Step 2: Convert to fraction form
    267,914.24/369,726.42 = 147,066.77/x
  3. Step 3: Cross multiply
    267,914.24x = 369,726.42 × 147,066.77
  4. Step 4: Simplify right side
    267,914.24x = 54,374,468,524.43
  5. Step 5: Solve for x
    x = 54,374,468,524.43/267,914.24
  6. Step 6: Final answer
    x = 202,954.76

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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.