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Finding the Fourth Proportional to 209,085.20, 313,627.80 and 51,311.60

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Solution

The fourth proportional to 209,085.20, 313,627.80 and 51,311.60 is: 76,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,085.20 : 313,627.80 = 51,311.60 : x
  2. Step 2: Convert to fraction form
    209,085.20/313,627.80 = 51,311.60/x
  3. Step 3: Cross multiply
    209,085.20x = 313,627.80 × 51,311.60
  4. Step 4: Simplify right side
    209,085.20x = 16,092,744,222.48
  5. Step 5: Solve for x
    x = 16,092,744,222.48/209,085.20
  6. Step 6: Final answer
    x = 76,967.40

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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.