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Finding the Fourth Proportional to 227,897.70, 341,846.55 and 133,419.30

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Solution

The fourth proportional to 227,897.70, 341,846.55 and 133,419.30 is: 200,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,897.70 : 341,846.55 = 133,419.30 : x
  2. Step 2: Convert to fraction form
    227,897.70/341,846.55 = 133,419.30/x
  3. Step 3: Cross multiply
    227,897.70x = 341,846.55 × 133,419.30
  4. Step 4: Simplify right side
    227,897.70x = 45,608,927,408.42
  5. Step 5: Solve for x
    x = 45,608,927,408.42/227,897.70
  6. Step 6: Final answer
    x = 200,128.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.