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Finding the Fourth Proportional to 101,777, 140,452.26 and 57,065

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Solution

The fourth proportional to 101,777, 140,452.26 and 57,065 is: 78,749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,777 : 140,452.26 = 57,065 : x
  2. Step 2: Convert to fraction form
    101,777/140,452.26 = 57,065/x
  3. Step 3: Cross multiply
    101,777x = 140,452.26 × 57,065
  4. Step 4: Simplify right side
    101,777x = 8,014,908,216.90
  5. Step 5: Solve for x
    x = 8,014,908,216.90/101,777
  6. Step 6: Final answer
    x = 78,749.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.