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Finding the Fourth Proportional to 277,629.44, 416,615.50 and 109,120.20

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Solution

The fourth proportional to 277,629.44, 416,615.50 and 109,120.20 is: 163,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,629.44 : 416,615.50 = 109,120.20 : x
  2. Step 2: Convert to fraction form
    277,629.44/416,615.50 = 109,120.20/x
  3. Step 3: Cross multiply
    277,629.44x = 416,615.50 × 109,120.20
  4. Step 4: Simplify right side
    277,629.44x = 45,461,166,683.10
  5. Step 5: Solve for x
    x = 45,461,166,683.10/277,629.44
  6. Step 6: Final answer
    x = 163,747.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.