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Finding the Fourth Proportional to 204,907.86, 282,806.91 and 118,917.76

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Solution

The fourth proportional to 204,907.86, 282,806.91 and 118,917.76 is: 164,126.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,907.86 : 282,806.91 = 118,917.76 : x
  2. Step 2: Convert to fraction form
    204,907.86/282,806.91 = 118,917.76/x
  3. Step 3: Cross multiply
    204,907.86x = 282,806.91 × 118,917.76
  4. Step 4: Simplify right side
    204,907.86x = 33,630,764,249.72
  5. Step 5: Solve for x
    x = 33,630,764,249.72/204,907.86
  6. Step 6: Final answer
    x = 164,126.28

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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.