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Finding the Fourth Proportional to 196,139.60, 294,247.80 and 83,819.60

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Solution

The fourth proportional to 196,139.60, 294,247.80 and 83,819.60 is: 125,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,139.60 : 294,247.80 = 83,819.60 : x
  2. Step 2: Convert to fraction form
    196,139.60/294,247.80 = 83,819.60/x
  3. Step 3: Cross multiply
    196,139.60x = 294,247.80 × 83,819.60
  4. Step 4: Simplify right side
    196,139.60x = 24,663,732,896.88
  5. Step 5: Solve for x
    x = 24,663,732,896.88/196,139.60
  6. Step 6: Final answer
    x = 125,745.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.