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Finding the Fourth Proportional to 182,357.20, 273,508.44 and 57,682

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Solution

The fourth proportional to 182,357.20, 273,508.44 and 57,682 is: 86,514.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,357.20 : 273,508.44 = 57,682 : x
  2. Step 2: Convert to fraction form
    182,357.20/273,508.44 = 57,682/x
  3. Step 3: Cross multiply
    182,357.20x = 273,508.44 × 57,682
  4. Step 4: Simplify right side
    182,357.20x = 15,776,513,836.08
  5. Step 5: Solve for x
    x = 15,776,513,836.08/182,357.20
  6. Step 6: Final answer
    x = 86,514.35

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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.