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Finding the Fourth Proportional to 228,503.21, 315,936.38 and 200,127.56

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Solution

The fourth proportional to 228,503.21, 315,936.38 and 200,127.56 is: 276,703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,503.21 : 315,936.38 = 200,127.56 : x
  2. Step 2: Convert to fraction form
    228,503.21/315,936.38 = 200,127.56/x
  3. Step 3: Cross multiply
    228,503.21x = 315,936.38 × 200,127.56
  4. Step 4: Simplify right side
    228,503.21x = 63,227,578,134.79
  5. Step 5: Solve for x
    x = 63,227,578,134.79/228,503.21
  6. Step 6: Final answer
    x = 276,703.24

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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.