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Finding the Fourth Proportional to 127,372.28, 189,946.49 and 111,650.12

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Solution

The fourth proportional to 127,372.28, 189,946.49 and 111,650.12 is: 166,500.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,372.28 : 189,946.49 = 111,650.12 : x
  2. Step 2: Convert to fraction form
    127,372.28/189,946.49 = 111,650.12/x
  3. Step 3: Cross multiply
    127,372.28x = 189,946.49 × 111,650.12
  4. Step 4: Simplify right side
    127,372.28x = 21,207,548,402.08
  5. Step 5: Solve for x
    x = 21,207,548,402.08/127,372.28
  6. Step 6: Final answer
    x = 166,500.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.