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Finding the Fourth Proportional to 209,111.79, 288,567.86 and 113,616.44

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Solution

The fourth proportional to 209,111.79, 288,567.86 and 113,616.44 is: 156,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,111.79 : 288,567.86 = 113,616.44 : x
  2. Step 2: Convert to fraction form
    209,111.79/288,567.86 = 113,616.44/x
  3. Step 3: Cross multiply
    209,111.79x = 288,567.86 × 113,616.44
  4. Step 4: Simplify right side
    209,111.79x = 32,786,050,940.70
  5. Step 5: Solve for x
    x = 32,786,050,940.70/209,111.79
  6. Step 6: Final answer
    x = 156,787.19

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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.