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Finding the Fourth Proportional to 224,563.14, 309,949.23 and 148,096.04

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Solution

The fourth proportional to 224,563.14, 309,949.23 and 148,096.04 is: 204,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,563.14 : 309,949.23 = 148,096.04 : x
  2. Step 2: Convert to fraction form
    224,563.14/309,949.23 = 148,096.04/x
  3. Step 3: Cross multiply
    224,563.14x = 309,949.23 × 148,096.04
  4. Step 4: Simplify right side
    224,563.14x = 45,902,252,569.66
  5. Step 5: Solve for x
    x = 45,902,252,569.66/224,563.14
  6. Step 6: Final answer
    x = 204,406.89

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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.