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Finding the Fourth Proportional to 145,093.92, 200,172.38 and 83,799.60

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Solution

The fourth proportional to 145,093.92, 200,172.38 and 83,799.60 is: 115,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,093.92 : 200,172.38 = 83,799.60 : x
  2. Step 2: Convert to fraction form
    145,093.92/200,172.38 = 83,799.60/x
  3. Step 3: Cross multiply
    145,093.92x = 200,172.38 × 83,799.60
  4. Step 4: Simplify right side
    145,093.92x = 16,774,365,375.05
  5. Step 5: Solve for x
    x = 16,774,365,375.05/145,093.92
  6. Step 6: Final answer
    x = 115,610.39

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