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Finding the Fourth Proportional to 209,615.22, 289,275.06 and 114,123.54

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Solution

The fourth proportional to 209,615.22, 289,275.06 and 114,123.54 is: 157,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,615.22 : 289,275.06 = 114,123.54 : x
  2. Step 2: Convert to fraction form
    209,615.22/289,275.06 = 114,123.54/x
  3. Step 3: Cross multiply
    209,615.22x = 289,275.06 × 114,123.54
  4. Step 4: Simplify right side
    209,615.22x = 33,013,093,880.91
  5. Step 5: Solve for x
    x = 33,013,093,880.91/209,615.22
  6. Step 6: Final answer
    x = 157,493.78

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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.