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Finding the Fourth Proportional to 224,098.50, 309,244.91 and 122,123.65

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Solution

The fourth proportional to 224,098.50, 309,244.91 and 122,123.65 is: 168,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,098.50 : 309,244.91 = 122,123.65 : x
  2. Step 2: Convert to fraction form
    224,098.50/309,244.91 = 122,123.65/x
  3. Step 3: Cross multiply
    224,098.50x = 309,244.91 × 122,123.65
  4. Step 4: Simplify right side
    224,098.50x = 37,766,116,227.35
  5. Step 5: Solve for x
    x = 37,766,116,227.35/224,098.50
  6. Step 6: Final answer
    x = 168,524.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.