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Finding the Fourth Proportional to 180,460.66, 270,512.43 and 85,523.98

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Solution

The fourth proportional to 180,460.66, 270,512.43 and 85,523.98 is: 128,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,460.66 : 270,512.43 = 85,523.98 : x
  2. Step 2: Convert to fraction form
    180,460.66/270,512.43 = 85,523.98/x
  3. Step 3: Cross multiply
    180,460.66x = 270,512.43 × 85,523.98
  4. Step 4: Simplify right side
    180,460.66x = 23,135,299,653.07
  5. Step 5: Solve for x
    x = 23,135,299,653.07/180,460.66
  6. Step 6: Final answer
    x = 128,201.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.