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Finding the Fourth Proportional to 82,219.35, 123,050.19 and 52,219.18

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Solution

The fourth proportional to 82,219.35, 123,050.19 and 52,219.18 is: 78,151.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,219.35 : 123,050.19 = 52,219.18 : x
  2. Step 2: Convert to fraction form
    82,219.35/123,050.19 = 52,219.18/x
  3. Step 3: Cross multiply
    82,219.35x = 123,050.19 × 52,219.18
  4. Step 4: Simplify right side
    82,219.35x = 6,425,580,076.55
  5. Step 5: Solve for x
    x = 6,425,580,076.55/82,219.35
  6. Step 6: Final answer
    x = 78,151.67

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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.