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Finding the Fourth Proportional to 224,253.78, 309,472.66 and 122,278.44

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Solution

The fourth proportional to 224,253.78, 309,472.66 and 122,278.44 is: 168,745.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,253.78 : 309,472.66 = 122,278.44 : x
  2. Step 2: Convert to fraction form
    224,253.78/309,472.66 = 122,278.44/x
  3. Step 3: Cross multiply
    224,253.78x = 309,472.66 × 122,278.44
  4. Step 4: Simplify right side
    224,253.78x = 37,841,834,087.45
  5. Step 5: Solve for x
    x = 37,841,834,087.45/224,253.78
  6. Step 6: Final answer
    x = 168,745.58

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1.5x scale

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.