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Finding the Fourth Proportional to 145,137.76, 200,296.75 and 80,607.25

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Solution

The fourth proportional to 145,137.76, 200,296.75 and 80,607.25 is: 111,241.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,137.76 : 200,296.75 = 80,607.25 : x
  2. Step 2: Convert to fraction form
    145,137.76/200,296.75 = 80,607.25/x
  3. Step 3: Cross multiply
    145,137.76x = 200,296.75 × 80,607.25
  4. Step 4: Simplify right side
    145,137.76x = 16,145,370,201.44
  5. Step 5: Solve for x
    x = 16,145,370,201.44/145,137.76
  6. Step 6: Final answer
    x = 111,241.69

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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.