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Finding the Fourth Proportional to 209,435.16, 289,012.12 and 113,942.24

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Solution

The fourth proportional to 209,435.16, 289,012.12 and 113,942.24 is: 157,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,435.16 : 289,012.12 = 113,942.24 : x
  2. Step 2: Convert to fraction form
    209,435.16/289,012.12 = 113,942.24/x
  3. Step 3: Cross multiply
    209,435.16x = 289,012.12 × 113,942.24
  4. Step 4: Simplify right side
    209,435.16x = 32,930,688,339.95
  5. Step 5: Solve for x
    x = 32,930,688,339.95/209,435.16
  6. Step 6: Final answer
    x = 157,235.72

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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.