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Finding the Fourth Proportional to 381,004.95, 571,107.34 and 128,197.68

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Solution

The fourth proportional to 381,004.95, 571,107.34 and 128,197.68 is: 192,161.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,004.95 : 571,107.34 = 128,197.68 : x
  2. Step 2: Convert to fraction form
    381,004.95/571,107.34 = 128,197.68/x
  3. Step 3: Cross multiply
    381,004.95x = 571,107.34 × 128,197.68
  4. Step 4: Simplify right side
    381,004.95x = 73,214,634,037.57
  5. Step 5: Solve for x
    x = 73,214,634,037.57/381,004.95
  6. Step 6: Final answer
    x = 192,161.90

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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.