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Finding the Fourth Proportional to 227,916.40, 341,874.60 and 157,057.60

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Solution

The fourth proportional to 227,916.40, 341,874.60 and 157,057.60 is: 235,586.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,916.40 : 341,874.60 = 157,057.60 : x
  2. Step 2: Convert to fraction form
    227,916.40/341,874.60 = 157,057.60/x
  3. Step 3: Cross multiply
    227,916.40x = 341,874.60 × 157,057.60
  4. Step 4: Simplify right side
    227,916.40x = 53,694,004,176.96
  5. Step 5: Solve for x
    x = 53,694,004,176.96/227,916.40
  6. Step 6: Final answer
    x = 235,586.40

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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.