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Finding the Fourth Proportional to 209,085.68, 288,544.17 and 113,598.21

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Solution

The fourth proportional to 209,085.68, 288,544.17 and 113,598.21 is: 156,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,085.68 : 288,544.17 = 113,598.21 : x
  2. Step 2: Convert to fraction form
    209,085.68/288,544.17 = 113,598.21/x
  3. Step 3: Cross multiply
    209,085.68x = 288,544.17 × 113,598.21
  4. Step 4: Simplify right side
    209,085.68x = 32,778,101,217.94
  5. Step 5: Solve for x
    x = 32,778,101,217.94/209,085.68
  6. Step 6: Final answer
    x = 156,768.76

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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.