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Finding the Fourth Proportional to 180,422.36, 270,454.93 and 85,484.69

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Solution

The fourth proportional to 180,422.36, 270,454.93 and 85,484.69 is: 128,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,422.36 : 270,454.93 = 85,484.69 : x
  2. Step 2: Convert to fraction form
    180,422.36/270,454.93 = 85,484.69/x
  3. Step 3: Cross multiply
    180,422.36x = 270,454.93 × 85,484.69
  4. Step 4: Simplify right side
    180,422.36x = 23,119,755,850.02
  5. Step 5: Solve for x
    x = 23,119,755,850.02/180,422.36
  6. Step 6: Final answer
    x = 128,142.41

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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.