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Finding the Fourth Proportional to 202,362.84, 303,450.82 and 118,147.68

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Solution

The fourth proportional to 202,362.84, 303,450.82 and 118,147.68 is: 177,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,362.84 : 303,450.82 = 118,147.68 : x
  2. Step 2: Convert to fraction form
    202,362.84/303,450.82 = 118,147.68/x
  3. Step 3: Cross multiply
    202,362.84x = 303,450.82 × 118,147.68
  4. Step 4: Simplify right side
    202,362.84x = 35,852,010,377.10
  5. Step 5: Solve for x
    x = 35,852,010,377.10/202,362.84
  6. Step 6: Final answer
    x = 177,166.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.