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Finding the Fourth Proportional to 277,382.88, 416,091.60 and 111,149.28

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Solution

The fourth proportional to 277,382.88, 416,091.60 and 111,149.28 is: 166,730.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,382.88 : 416,091.60 = 111,149.28 : x
  2. Step 2: Convert to fraction form
    277,382.88/416,091.60 = 111,149.28/x
  3. Step 3: Cross multiply
    277,382.88x = 416,091.60 × 111,149.28
  4. Step 4: Simplify right side
    277,382.88x = 46,248,281,754.05
  5. Step 5: Solve for x
    x = 46,248,281,754.05/277,382.88
  6. Step 6: Final answer
    x = 166,730.84

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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.