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Finding the Fourth Proportional to 224,563.64, 309,949.93 and 148,096.54

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Solution

The fourth proportional to 224,563.64, 309,949.93 and 148,096.54 is: 204,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,563.64 : 309,949.93 = 148,096.54 : x
  2. Step 2: Convert to fraction form
    224,563.64/309,949.93 = 148,096.54/x
  3. Step 3: Cross multiply
    224,563.64x = 309,949.93 × 148,096.54
  4. Step 4: Simplify right side
    224,563.64x = 45,902,509,916.01
  5. Step 5: Solve for x
    x = 45,902,509,916.01/224,563.64
  6. Step 6: Final answer
    x = 204,407.58

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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.