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Finding the Fourth Proportional to 209,113.86, 288,566.38 and 113,620.33

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Solution

The fourth proportional to 209,113.86, 288,566.38 and 113,620.33 is: 156,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,113.86 : 288,566.38 = 113,620.33 : x
  2. Step 2: Convert to fraction form
    209,113.86/288,566.38 = 113,620.33/x
  3. Step 3: Cross multiply
    209,113.86x = 288,566.38 × 113,620.33
  4. Step 4: Simplify right side
    209,113.86x = 32,787,007,322.51
  5. Step 5: Solve for x
    x = 32,787,007,322.51/209,113.86
  6. Step 6: Final answer
    x = 156,790.22

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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.