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Finding the Fourth Proportional to 209,434.76, 289,021.23 and 113,942.15

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Solution

The fourth proportional to 209,434.76, 289,021.23 and 113,942.15 is: 157,240.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,434.76 : 289,021.23 = 113,942.15 : x
  2. Step 2: Convert to fraction form
    209,434.76/289,021.23 = 113,942.15/x
  3. Step 3: Cross multiply
    209,434.76x = 289,021.23 × 113,942.15
  4. Step 4: Simplify right side
    209,434.76x = 32,931,698,896.74
  5. Step 5: Solve for x
    x = 32,931,698,896.74/209,434.76
  6. Step 6: Final answer
    x = 157,240.84

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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.