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Finding the Fourth Proportional to 209,213.74, 288,708.87 and 113,717.98

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Solution

The fourth proportional to 209,213.74, 288,708.87 and 113,717.98 is: 156,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,213.74 : 288,708.87 = 113,717.98 : x
  2. Step 2: Convert to fraction form
    209,213.74/288,708.87 = 113,717.98/x
  3. Step 3: Cross multiply
    209,213.74x = 288,708.87 × 113,717.98
  4. Step 4: Simplify right side
    209,213.74x = 32,831,389,504.48
  5. Step 5: Solve for x
    x = 32,831,389,504.48/209,213.74
  6. Step 6: Final answer
    x = 156,927.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.