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Finding the Fourth Proportional to 149,696.34, 224,580.42 and 49,857.44

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Solution

The fourth proportional to 149,696.34, 224,580.42 and 49,857.44 is: 74,798.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,696.34 : 224,580.42 = 49,857.44 : x
  2. Step 2: Convert to fraction form
    149,696.34/224,580.42 = 49,857.44/x
  3. Step 3: Cross multiply
    149,696.34x = 224,580.42 × 49,857.44
  4. Step 4: Simplify right side
    149,696.34x = 11,197,003,692.42
  5. Step 5: Solve for x
    x = 11,197,003,692.42/149,696.34
  6. Step 6: Final answer
    x = 74,798.11

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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.