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Finding the Fourth Proportional to 381,172, 571,782.48 and 100,682.08

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Solution

The fourth proportional to 381,172, 571,782.48 and 100,682.08 is: 151,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,172 : 571,782.48 = 100,682.08 : x
  2. Step 2: Convert to fraction form
    381,172/571,782.48 = 100,682.08/x
  3. Step 3: Cross multiply
    381,172x = 571,782.48 × 100,682.08
  4. Step 4: Simplify right side
    381,172x = 57,568,249,393.96
  5. Step 5: Solve for x
    x = 57,568,249,393.96/381,172
  6. Step 6: Final answer
    x = 151,029.59

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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.