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Finding the Fourth Proportional to 209,881.40, 289,618.01 and 116,729.30

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Solution

The fourth proportional to 209,881.40, 289,618.01 and 116,729.30 is: 161,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,881.40 : 289,618.01 = 116,729.30 : x
  2. Step 2: Convert to fraction form
    209,881.40/289,618.01 = 116,729.30/x
  3. Step 3: Cross multiply
    209,881.40x = 289,618.01 × 116,729.30
  4. Step 4: Simplify right side
    209,881.40x = 33,806,906,523.73
  5. Step 5: Solve for x
    x = 33,806,906,523.73/209,881.40
  6. Step 6: Final answer
    x = 161,076.24

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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.