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Finding the Fourth Proportional to 227,859.13, 314,534.18 and 203,944.29

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Solution

The fourth proportional to 227,859.13, 314,534.18 and 203,944.29 is: 281,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,859.13 : 314,534.18 = 203,944.29 : x
  2. Step 2: Convert to fraction form
    227,859.13/314,534.18 = 203,944.29/x
  3. Step 3: Cross multiply
    227,859.13x = 314,534.18 × 203,944.29
  4. Step 4: Simplify right side
    227,859.13x = 64,147,448,214.78
  5. Step 5: Solve for x
    x = 64,147,448,214.78/227,859.13
  6. Step 6: Final answer
    x = 281,522.39

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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.