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Finding the Fourth Proportional to 101,777, 140,452.32 and 56,453.48

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Solution

The fourth proportional to 101,777, 140,452.32 and 56,453.48 is: 77,905.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,777 : 140,452.32 = 56,453.48 : x
  2. Step 2: Convert to fraction form
    101,777/140,452.32 = 56,453.48/x
  3. Step 3: Cross multiply
    101,777x = 140,452.32 × 56,453.48
  4. Step 4: Simplify right side
    101,777x = 7,929,022,238.07
  5. Step 5: Solve for x
    x = 7,929,022,238.07/101,777
  6. Step 6: Final answer
    x = 77,905.84

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1.5x scale

Why These Related Problems?

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