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Finding the Fourth Proportional to 272,846.69, 409,267.16 and 106,633.25

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Solution

The fourth proportional to 272,846.69, 409,267.16 and 106,633.25 is: 159,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,846.69 : 409,267.16 = 106,633.25 : x
  2. Step 2: Convert to fraction form
    272,846.69/409,267.16 = 106,633.25/x
  3. Step 3: Cross multiply
    272,846.69x = 409,267.16 × 106,633.25
  4. Step 4: Simplify right side
    272,846.69x = 43,641,486,855.90
  5. Step 5: Solve for x
    x = 43,641,486,855.90/272,846.69
  6. Step 6: Final answer
    x = 159,948.75

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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.