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Finding the Fourth Proportional to 202,887.70, 303,930.60 and 177,955.90

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Solution

The fourth proportional to 202,887.70, 303,930.60 and 177,955.90 is: 266,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,887.70 : 303,930.60 = 177,955.90 : x
  2. Step 2: Convert to fraction form
    202,887.70/303,930.60 = 177,955.90/x
  3. Step 3: Cross multiply
    202,887.70x = 303,930.60 × 177,955.90
  4. Step 4: Simplify right side
    202,887.70x = 54,086,243,460.54
  5. Step 5: Solve for x
    x = 54,086,243,460.54/202,887.70
  6. Step 6: Final answer
    x = 266,582.17

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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.