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Finding the Fourth Proportional to 128,200.20, 192,242.70 and 49,288.20

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Solution

The fourth proportional to 128,200.20, 192,242.70 and 49,288.20 is: 73,910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,200.20 : 192,242.70 = 49,288.20 : x
  2. Step 2: Convert to fraction form
    128,200.20/192,242.70 = 49,288.20/x
  3. Step 3: Cross multiply
    128,200.20x = 192,242.70 × 49,288.20
  4. Step 4: Simplify right side
    128,200.20x = 9,475,296,646.14
  5. Step 5: Solve for x
    x = 9,475,296,646.14/128,200.20
  6. Step 6: Final answer
    x = 73,910.15

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