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Finding the Fourth Proportional to 204,997.92, 282,904.16 and 118,950.41

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Solution

The fourth proportional to 204,997.92, 282,904.16 and 118,950.41 is: 164,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,997.92 : 282,904.16 = 118,950.41 : x
  2. Step 2: Convert to fraction form
    204,997.92/282,904.16 = 118,950.41/x
  3. Step 3: Cross multiply
    204,997.92x = 282,904.16 × 118,950.41
  4. Step 4: Simplify right side
    204,997.92x = 33,651,563,813.43
  5. Step 5: Solve for x
    x = 33,651,563,813.43/204,997.92
  6. Step 6: Final answer
    x = 164,155.64

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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.