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Finding the Fourth Proportional to 145,078.94, 200,204.44 and 80,546.78

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Solution

The fourth proportional to 145,078.94, 200,204.44 and 80,546.78 is: 111,152.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,078.94 : 200,204.44 = 80,546.78 : x
  2. Step 2: Convert to fraction form
    145,078.94/200,204.44 = 80,546.78/x
  3. Step 3: Cross multiply
    145,078.94x = 200,204.44 × 80,546.78
  4. Step 4: Simplify right side
    145,078.94x = 16,125,821,781.31
  5. Step 5: Solve for x
    x = 16,125,821,781.31/145,078.94
  6. Step 6: Final answer
    x = 111,152.06

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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.