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Finding the Fourth Proportional to 205,087.50, 307,636.14 and 80,428.50

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Solution

The fourth proportional to 205,087.50, 307,636.14 and 80,428.50 is: 120,644.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,087.50 : 307,636.14 = 80,428.50 : x
  2. Step 2: Convert to fraction form
    205,087.50/307,636.14 = 80,428.50/x
  3. Step 3: Cross multiply
    205,087.50x = 307,636.14 × 80,428.50
  4. Step 4: Simplify right side
    205,087.50x = 24,742,713,285.99
  5. Step 5: Solve for x
    x = 24,742,713,285.99/205,087.50
  6. Step 6: Final answer
    x = 120,644.67

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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.