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Finding the Fourth Proportional to 209,329.75, 288,872.34 and 113,834.40

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Solution

The fourth proportional to 209,329.75, 288,872.34 and 113,834.40 is: 157,089.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,329.75 : 288,872.34 = 113,834.40 : x
  2. Step 2: Convert to fraction form
    209,329.75/288,872.34 = 113,834.40/x
  3. Step 3: Cross multiply
    209,329.75x = 288,872.34 × 113,834.40
  4. Step 4: Simplify right side
    209,329.75x = 32,883,608,844.10
  5. Step 5: Solve for x
    x = 32,883,608,844.10/209,329.75
  6. Step 6: Final answer
    x = 157,089.99

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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.