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Finding the Fourth Proportional to 180,431.42, 270,573.14 and 54,027.14

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Solution

The fourth proportional to 180,431.42, 270,573.14 and 54,027.14 is: 81,018.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,431.42 : 270,573.14 = 54,027.14 : x
  2. Step 2: Convert to fraction form
    180,431.42/270,573.14 = 54,027.14/x
  3. Step 3: Cross multiply
    180,431.42x = 270,573.14 × 54,027.14
  4. Step 4: Simplify right side
    180,431.42x = 14,618,292,915.02
  5. Step 5: Solve for x
    x = 14,618,292,915.02/180,431.42
  6. Step 6: Final answer
    x = 81,018.55

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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.