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Finding the Fourth Proportional to 262,224.56, 361,869.12 and 149,069.12

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Solution

The fourth proportional to 262,224.56, 361,869.12 and 149,069.12 is: 205,714.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,224.56 : 361,869.12 = 149,069.12 : x
  2. Step 2: Convert to fraction form
    262,224.56/361,869.12 = 149,069.12/x
  3. Step 3: Cross multiply
    262,224.56x = 361,869.12 × 149,069.12
  4. Step 4: Simplify right side
    262,224.56x = 53,943,511,273.57
  5. Step 5: Solve for x
    x = 53,943,511,273.57/262,224.56
  6. Step 6: Final answer
    x = 205,714.95

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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.