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Finding the Fourth Proportional to 147,893.50, 204,093.04 and 80,825.50

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Solution

The fourth proportional to 147,893.50, 204,093.04 and 80,825.50 is: 111,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,893.50 : 204,093.04 = 80,825.50 : x
  2. Step 2: Convert to fraction form
    147,893.50/204,093.04 = 80,825.50/x
  3. Step 3: Cross multiply
    147,893.50x = 204,093.04 × 80,825.50
  4. Step 4: Simplify right side
    147,893.50x = 16,495,922,004.52
  5. Step 5: Solve for x
    x = 16,495,922,004.52/147,893.50
  6. Step 6: Final answer
    x = 111,539.20

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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.