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Finding the Fourth Proportional to 277,182.39, 416,007.26 and 108,820.95

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Solution

The fourth proportional to 277,182.39, 416,007.26 and 108,820.95 is: 163,323.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,182.39 : 416,007.26 = 108,820.95 : x
  2. Step 2: Convert to fraction form
    277,182.39/416,007.26 = 108,820.95/x
  3. Step 3: Cross multiply
    277,182.39x = 416,007.26 × 108,820.95
  4. Step 4: Simplify right side
    277,182.39x = 45,270,305,512.15
  5. Step 5: Solve for x
    x = 45,270,305,512.15/277,182.39
  6. Step 6: Final answer
    x = 163,323.17

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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.