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Finding the Fourth Proportional to 149,758.34, 224,622.12 and 49,907.78

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Solution

The fourth proportional to 149,758.34, 224,622.12 and 49,907.78 is: 74,856.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,758.34 : 224,622.12 = 49,907.78 : x
  2. Step 2: Convert to fraction form
    149,758.34/224,622.12 = 49,907.78/x
  3. Step 3: Cross multiply
    149,758.34x = 224,622.12 × 49,907.78
  4. Step 4: Simplify right side
    149,758.34x = 11,210,391,348.09
  5. Step 5: Solve for x
    x = 11,210,391,348.09/149,758.34
  6. Step 6: Final answer
    x = 74,856.54

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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.