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Finding the Fourth Proportional to 277,150.70, 414,686.01 and 164,418.14

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Solution

The fourth proportional to 277,150.70, 414,686.01 and 164,418.14 is: 246,010.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,150.70 : 414,686.01 = 164,418.14 : x
  2. Step 2: Convert to fraction form
    277,150.70/414,686.01 = 164,418.14/x
  3. Step 3: Cross multiply
    277,150.70x = 414,686.01 × 164,418.14
  4. Step 4: Simplify right side
    277,150.70x = 68,181,902,448.22
  5. Step 5: Solve for x
    x = 68,181,902,448.22/277,150.70
  6. Step 6: Final answer
    x = 246,010.21

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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.