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Finding the Fourth Proportional to 209,219, 313,810.70 and 82,824.86

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Solution

The fourth proportional to 209,219, 313,810.70 and 82,824.86 is: 124,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,219 : 313,810.70 = 82,824.86 : x
  2. Step 2: Convert to fraction form
    209,219/313,810.70 = 82,824.86/x
  3. Step 3: Cross multiply
    209,219x = 313,810.70 × 82,824.86
  4. Step 4: Simplify right side
    209,219x = 25,991,327,294.00
  5. Step 5: Solve for x
    x = 25,991,327,294.00/209,219
  6. Step 6: Final answer
    x = 124,230.24

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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.