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Finding the Fourth Proportional to 277,740, 416,523.96 and 100,224

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Solution

The fourth proportional to 277,740, 416,523.96 and 100,224 is: 150,304.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,740 : 416,523.96 = 100,224 : x
  2. Step 2: Convert to fraction form
    277,740/416,523.96 = 100,224/x
  3. Step 3: Cross multiply
    277,740x = 416,523.96 × 100,224
  4. Step 4: Simplify right side
    277,740x = 41,745,697,367.04
  5. Step 5: Solve for x
    x = 41,745,697,367.04/277,740
  6. Step 6: Final answer
    x = 150,304.95

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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.