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Finding the Fourth Proportional to 273,442.52, 409,369.46 and 159,242.14

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Solution

The fourth proportional to 273,442.52, 409,369.46 and 159,242.14 is: 238,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,442.52 : 409,369.46 = 159,242.14 : x
  2. Step 2: Convert to fraction form
    273,442.52/409,369.46 = 159,242.14/x
  3. Step 3: Cross multiply
    273,442.52x = 409,369.46 × 159,242.14
  4. Step 4: Simplify right side
    273,442.52x = 65,188,868,861.04
  5. Step 5: Solve for x
    x = 65,188,868,861.04/273,442.52
  6. Step 6: Final answer
    x = 238,400.63

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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.