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Finding the Fourth Proportional to 242,227, 334,273.26 and 136,243

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Solution

The fourth proportional to 242,227, 334,273.26 and 136,243 is: 188,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,227 : 334,273.26 = 136,243 : x
  2. Step 2: Convert to fraction form
    242,227/334,273.26 = 136,243/x
  3. Step 3: Cross multiply
    242,227x = 334,273.26 × 136,243
  4. Step 4: Simplify right side
    242,227x = 45,542,391,762.18
  5. Step 5: Solve for x
    x = 45,542,391,762.18/242,227
  6. Step 6: Final answer
    x = 188,015.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.