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Finding the Fourth Proportional to 342,936.38, 514,448.32 and 106,293.26

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Solution

The fourth proportional to 342,936.38, 514,448.32 and 106,293.26 is: 159,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,936.38 : 514,448.32 = 106,293.26 : x
  2. Step 2: Convert to fraction form
    342,936.38/514,448.32 = 106,293.26/x
  3. Step 3: Cross multiply
    342,936.38x = 514,448.32 × 106,293.26
  4. Step 4: Simplify right side
    342,936.38x = 54,682,389,034.32
  5. Step 5: Solve for x
    x = 54,682,389,034.32/342,936.38
  6. Step 6: Final answer
    x = 159,453.45

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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.