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Finding the Fourth Proportional to 209,113.74, 288,578.16 and 113,621.22

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Solution

The fourth proportional to 209,113.74, 288,578.16 and 113,621.22 is: 156,797.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,113.74 : 288,578.16 = 113,621.22 : x
  2. Step 2: Convert to fraction form
    209,113.74/288,578.16 = 113,621.22/x
  3. Step 3: Cross multiply
    209,113.74x = 288,578.16 × 113,621.22
  4. Step 4: Simplify right side
    209,113.74x = 32,788,602,604.56
  5. Step 5: Solve for x
    x = 32,788,602,604.56/209,113.74
  6. Step 6: Final answer
    x = 156,797.93

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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.