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Finding the Fourth Proportional to 277,661.09, 416,491.64 and 67,299.03

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Solution

The fourth proportional to 277,661.09, 416,491.64 and 67,299.03 is: 100,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,661.09 : 416,491.64 = 67,299.03 : x
  2. Step 2: Convert to fraction form
    277,661.09/416,491.64 = 67,299.03/x
  3. Step 3: Cross multiply
    277,661.09x = 416,491.64 × 67,299.03
  4. Step 4: Simplify right side
    277,661.09x = 28,029,483,375.11
  5. Step 5: Solve for x
    x = 28,029,483,375.11/277,661.09
  6. Step 6: Final answer
    x = 100,948.55

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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.