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Finding the Fourth Proportional to 277,683.26, 416,244.47 and 109,321.76

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Solution

The fourth proportional to 277,683.26, 416,244.47 and 109,321.76 is: 163,872.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,683.26 : 416,244.47 = 109,321.76 : x
  2. Step 2: Convert to fraction form
    277,683.26/416,244.47 = 109,321.76/x
  3. Step 3: Cross multiply
    277,683.26x = 416,244.47 × 109,321.76
  4. Step 4: Simplify right side
    277,683.26x = 45,504,575,422.84
  5. Step 5: Solve for x
    x = 45,504,575,422.84/277,683.26
  6. Step 6: Final answer
    x = 163,872.23

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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.