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Finding the Fourth Proportional to 182,140, 273,185.38 and 49,028.24

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Solution

The fourth proportional to 182,140, 273,185.38 and 49,028.24 is: 73,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,140 : 273,185.38 = 49,028.24 : x
  2. Step 2: Convert to fraction form
    182,140/273,185.38 = 49,028.24/x
  3. Step 3: Cross multiply
    182,140x = 273,185.38 × 49,028.24
  4. Step 4: Simplify right side
    182,140x = 13,393,798,375.13
  5. Step 5: Solve for x
    x = 13,393,798,375.13/182,140
  6. Step 6: Final answer
    x = 73,535.73

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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.