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Finding the Fourth Proportional to 224,568, 336,907.44 and 66,795.84

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Solution

The fourth proportional to 224,568, 336,907.44 and 66,795.84 is: 100,210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,568 : 336,907.44 = 66,795.84 : x
  2. Step 2: Convert to fraction form
    224,568/336,907.44 = 66,795.84/x
  3. Step 3: Cross multiply
    224,568x = 336,907.44 × 66,795.84
  4. Step 4: Simplify right side
    224,568x = 22,504,015,457.05
  5. Step 5: Solve for x
    x = 22,504,015,457.05/224,568
  6. Step 6: Final answer
    x = 100,210.25

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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.