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Finding the Fourth Proportional to 277,615.25, 416,594.25 and 109,105.95

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Solution

The fourth proportional to 277,615.25, 416,594.25 and 109,105.95 is: 163,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,615.25 : 416,594.25 = 109,105.95 : x
  2. Step 2: Convert to fraction form
    277,615.25/416,594.25 = 109,105.95/x
  3. Step 3: Cross multiply
    277,615.25x = 416,594.25 × 109,105.95
  4. Step 4: Simplify right side
    277,615.25x = 45,452,911,410.79
  5. Step 5: Solve for x
    x = 45,452,911,410.79/277,615.25
  6. Step 6: Final answer
    x = 163,726.28

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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.