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Finding the Fourth Proportional to 182,114.50, 251,299.69 and 101,534.49

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Solution

The fourth proportional to 182,114.50, 251,299.69 and 101,534.49 is: 140,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,114.50 : 251,299.69 = 101,534.49 : x
  2. Step 2: Convert to fraction form
    182,114.50/251,299.69 = 101,534.49/x
  3. Step 3: Cross multiply
    182,114.50x = 251,299.69 × 101,534.49
  4. Step 4: Simplify right side
    182,114.50x = 25,515,585,861.31
  5. Step 5: Solve for x
    x = 25,515,585,861.31/182,114.50
  6. Step 6: Final answer
    x = 140,107.38

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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.