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Finding the Fourth Proportional to 149,292.24, 206,013.84 and 82,224.24

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Solution

The fourth proportional to 149,292.24, 206,013.84 and 82,224.24 is: 113,464.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,292.24 : 206,013.84 = 82,224.24 : x
  2. Step 2: Convert to fraction form
    149,292.24/206,013.84 = 82,224.24/x
  3. Step 3: Cross multiply
    149,292.24x = 206,013.84 × 82,224.24
  4. Step 4: Simplify right side
    149,292.24x = 16,939,331,423.48
  5. Step 5: Solve for x
    x = 16,939,331,423.48/149,292.24
  6. Step 6: Final answer
    x = 113,464.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.