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Finding the Fourth Proportional to 227,812.68, 314,529.30 and 203,897.88

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Solution

The fourth proportional to 227,812.68, 314,529.30 and 203,897.88 is: 281,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,812.68 : 314,529.30 = 203,897.88 : x
  2. Step 2: Convert to fraction form
    227,812.68/314,529.30 = 203,897.88/x
  3. Step 3: Cross multiply
    227,812.68x = 314,529.30 × 203,897.88
  4. Step 4: Simplify right side
    227,812.68x = 64,131,857,467.88
  5. Step 5: Solve for x
    x = 64,131,857,467.88/227,812.68
  6. Step 6: Final answer
    x = 281,511.36

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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.