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Finding the Fourth Proportional to 225,974.49, 311,990.88 and 140,024.68

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Solution

The fourth proportional to 225,974.49, 311,990.88 and 140,024.68 is: 193,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,974.49 : 311,990.88 = 140,024.68 : x
  2. Step 2: Convert to fraction form
    225,974.49/311,990.88 = 140,024.68/x
  3. Step 3: Cross multiply
    225,974.49x = 311,990.88 × 140,024.68
  4. Step 4: Simplify right side
    225,974.49x = 43,686,421,829.85
  5. Step 5: Solve for x
    x = 43,686,421,829.85/225,974.49
  6. Step 6: Final answer
    x = 193,324.57

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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.