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Finding the Fourth Proportional to 277,989.04, 416,825.56 and 109,418.00

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Solution

The fourth proportional to 277,989.04, 416,825.56 and 109,418.00 is: 164,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,989.04 : 416,825.56 = 109,418.00 : x
  2. Step 2: Convert to fraction form
    277,989.04/416,825.56 = 109,418.00/x
  3. Step 3: Cross multiply
    277,989.04x = 416,825.56 × 109,418.00
  4. Step 4: Simplify right side
    277,989.04x = 45,608,216,766.41
  5. Step 5: Solve for x
    x = 45,608,216,766.41/277,989.04
  6. Step 6: Final answer
    x = 164,064.80

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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.