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Finding the Fourth Proportional to 272,846.44, 409,266.78 and 106,633

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Solution

The fourth proportional to 272,846.44, 409,266.78 and 106,633 is: 159,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,846.44 : 409,266.78 = 106,633 : x
  2. Step 2: Convert to fraction form
    272,846.44/409,266.78 = 106,633/x
  3. Step 3: Cross multiply
    272,846.44x = 409,266.78 × 106,633
  4. Step 4: Simplify right side
    272,846.44x = 43,641,344,551.74
  5. Step 5: Solve for x
    x = 43,641,344,551.74/272,846.44
  6. Step 6: Final answer
    x = 159,948.37

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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.