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Finding the Fourth Proportional to 272,846.57, 409,266.97 and 106,633.13

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Solution

The fourth proportional to 272,846.57, 409,266.97 and 106,633.13 is: 159,948.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,846.57 : 409,266.97 = 106,633.13 : x
  2. Step 2: Convert to fraction form
    272,846.57/409,266.97 = 106,633.13/x
  3. Step 3: Cross multiply
    272,846.57x = 409,266.97 × 106,633.13
  4. Step 4: Simplify right side
    272,846.57x = 43,641,415,703.80
  5. Step 5: Solve for x
    x = 43,641,415,703.80/272,846.57
  6. Step 6: Final answer
    x = 159,948.56

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1.5x scale

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.