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Finding the Fourth Proportional to 277,698.12, 416,213.40 and 127,731.84

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Solution

The fourth proportional to 277,698.12, 416,213.40 and 127,731.84 is: 191,444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,698.12 : 416,213.40 = 127,731.84 : x
  2. Step 2: Convert to fraction form
    277,698.12/416,213.40 = 127,731.84/x
  3. Step 3: Cross multiply
    277,698.12x = 416,213.40 × 127,731.84
  4. Step 4: Simplify right side
    277,698.12x = 53,163,703,414.66
  5. Step 5: Solve for x
    x = 53,163,703,414.66/277,698.12
  6. Step 6: Final answer
    x = 191,444.23

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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.