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Finding the Fourth Proportional to 209,361.93, 288,923.12 and 113,869.27

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Solution

The fourth proportional to 209,361.93, 288,923.12 and 113,869.27 is: 157,141.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,361.93 : 288,923.12 = 113,869.27 : x
  2. Step 2: Convert to fraction form
    209,361.93/288,923.12 = 113,869.27/x
  3. Step 3: Cross multiply
    209,361.93x = 288,923.12 × 113,869.27
  4. Step 4: Simplify right side
    209,361.93x = 32,899,464,760.52
  5. Step 5: Solve for x
    x = 32,899,464,760.52/209,361.93
  6. Step 6: Final answer
    x = 157,141.58

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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.