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Finding the Fourth Proportional to 205,012.53, 307,507.86 and 55,250.41

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Solution

The fourth proportional to 205,012.53, 307,507.86 and 55,250.41 is: 82,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,012.53 : 307,507.86 = 55,250.41 : x
  2. Step 2: Convert to fraction form
    205,012.53/307,507.86 = 55,250.41/x
  3. Step 3: Cross multiply
    205,012.53x = 307,507.86 × 55,250.41
  4. Step 4: Simplify right side
    205,012.53x = 16,989,935,343.22
  5. Step 5: Solve for x
    x = 16,989,935,343.22/205,012.53
  6. Step 6: Final answer
    x = 82,872.67

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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.