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Finding the Fourth Proportional to 342,982.94, 514,474.61 and 143,194.41

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Solution

The fourth proportional to 342,982.94, 514,474.61 and 143,194.41 is: 214,791.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,982.94 : 514,474.61 = 143,194.41 : x
  2. Step 2: Convert to fraction form
    342,982.94/514,474.61 = 143,194.41/x
  3. Step 3: Cross multiply
    342,982.94x = 514,474.61 × 143,194.41
  4. Step 4: Simplify right side
    342,982.94x = 73,669,887,522.96
  5. Step 5: Solve for x
    x = 73,669,887,522.96/342,982.94
  6. Step 6: Final answer
    x = 214,791.70

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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.