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Finding the Fourth Proportional to 201,327.47, 277,824.83 and 110,682.78

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Solution

The fourth proportional to 201,327.47, 277,824.83 and 110,682.78 is: 152,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,327.47 : 277,824.83 = 110,682.78 : x
  2. Step 2: Convert to fraction form
    201,327.47/277,824.83 = 110,682.78/x
  3. Step 3: Cross multiply
    201,327.47x = 277,824.83 × 110,682.78
  4. Step 4: Simplify right side
    201,327.47x = 30,750,422,942.17
  5. Step 5: Solve for x
    x = 30,750,422,942.17/201,327.47
  6. Step 6: Final answer
    x = 152,738.34

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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.