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Finding the Fourth Proportional to 208,447.16, 311,161.39 and 183,224.84

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Solution

The fourth proportional to 208,447.16, 311,161.39 and 183,224.84 is: 273,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,447.16 : 311,161.39 = 183,224.84 : x
  2. Step 2: Convert to fraction form
    208,447.16/311,161.39 = 183,224.84/x
  3. Step 3: Cross multiply
    208,447.16x = 311,161.39 × 183,224.84
  4. Step 4: Simplify right side
    208,447.16x = 57,012,495,896.93
  5. Step 5: Solve for x
    x = 57,012,495,896.93/208,447.16
  6. Step 6: Final answer
    x = 273,510.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.