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Finding the Fourth Proportional to 123,765.75, 185,652.27 and 30,271.50

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Solution

The fourth proportional to 123,765.75, 185,652.27 and 30,271.50 is: 45,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,765.75 : 185,652.27 = 30,271.50 : x
  2. Step 2: Convert to fraction form
    123,765.75/185,652.27 = 30,271.50/x
  3. Step 3: Cross multiply
    123,765.75x = 185,652.27 × 30,271.50
  4. Step 4: Simplify right side
    123,765.75x = 5,619,972,691.31
  5. Step 5: Solve for x
    x = 5,619,972,691.31/123,765.75
  6. Step 6: Final answer
    x = 45,408.14

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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.