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Finding the Fourth Proportional to 209,756.67, 314,354.75 and 76,511.67

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Solution

The fourth proportional to 209,756.67, 314,354.75 and 76,511.67 is: 114,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,756.67 : 314,354.75 = 76,511.67 : x
  2. Step 2: Convert to fraction form
    209,756.67/314,354.75 = 76,511.67/x
  3. Step 3: Cross multiply
    209,756.67x = 314,354.75 × 76,511.67
  4. Step 4: Simplify right side
    209,756.67x = 24,051,806,512.37
  5. Step 5: Solve for x
    x = 24,051,806,512.37/209,756.67
  6. Step 6: Final answer
    x = 114,665.28

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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.