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Finding the Fourth Proportional to 274,738.55, 411,775.66 and 141,546.15

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Solution

The fourth proportional to 274,738.55, 411,775.66 and 141,546.15 is: 212,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,738.55 : 411,775.66 = 141,546.15 : x
  2. Step 2: Convert to fraction form
    274,738.55/411,775.66 = 141,546.15/x
  3. Step 3: Cross multiply
    274,738.55x = 411,775.66 × 141,546.15
  4. Step 4: Simplify right side
    274,738.55x = 58,285,256,570.10
  5. Step 5: Solve for x
    x = 58,285,256,570.10/274,738.55
  6. Step 6: Final answer
    x = 212,148.09

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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.