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Finding the Fourth Proportional to 289,032.67, 398,872.16 and 161,716.51

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Solution

The fourth proportional to 289,032.67, 398,872.16 and 161,716.51 is: 223,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,032.67 : 398,872.16 = 161,716.51 : x
  2. Step 2: Convert to fraction form
    289,032.67/398,872.16 = 161,716.51/x
  3. Step 3: Cross multiply
    289,032.67x = 398,872.16 × 161,716.51
  4. Step 4: Simplify right side
    289,032.67x = 64,504,212,061.29
  5. Step 5: Solve for x
    x = 64,504,212,061.29/289,032.67
  6. Step 6: Final answer
    x = 223,172.74

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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.