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Finding the Fourth Proportional to 381,197.94, 571,817.43 and 100,707.54

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Solution

The fourth proportional to 381,197.94, 571,817.43 and 100,707.54 is: 151,066.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,197.94 : 571,817.43 = 100,707.54 : x
  2. Step 2: Convert to fraction form
    381,197.94/571,817.43 = 100,707.54/x
  3. Step 3: Cross multiply
    381,197.94x = 571,817.43 × 100,707.54
  4. Step 4: Simplify right side
    381,197.94x = 57,586,326,704.42
  5. Step 5: Solve for x
    x = 57,586,326,704.42/381,197.94
  6. Step 6: Final answer
    x = 151,066.73

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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.