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Finding the Fourth Proportional to 180,486.24, 270,775.44 and 54,126

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Solution

The fourth proportional to 180,486.24, 270,775.44 and 54,126 is: 81,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,486.24 : 270,775.44 = 54,126 : x
  2. Step 2: Convert to fraction form
    180,486.24/270,775.44 = 54,126/x
  3. Step 3: Cross multiply
    180,486.24x = 270,775.44 × 54,126
  4. Step 4: Simplify right side
    180,486.24x = 14,655,991,465.44
  5. Step 5: Solve for x
    x = 14,655,991,465.44/180,486.24
  6. Step 6: Final answer
    x = 81,202.82

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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.