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Finding the Fourth Proportional to 225,809.74, 311,624.32 and 123,839.45

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Solution

The fourth proportional to 225,809.74, 311,624.32 and 123,839.45 is: 170,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,809.74 : 311,624.32 = 123,839.45 : x
  2. Step 2: Convert to fraction form
    225,809.74/311,624.32 = 123,839.45/x
  3. Step 3: Cross multiply
    225,809.74x = 311,624.32 × 123,839.45
  4. Step 4: Simplify right side
    225,809.74x = 38,591,384,085.83
  5. Step 5: Solve for x
    x = 38,591,384,085.83/225,809.74
  6. Step 6: Final answer
    x = 170,902.21

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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.