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Finding the Fourth Proportional to 202,409.83, 303,719.81 and 82,554.71

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Solution

The fourth proportional to 202,409.83, 303,719.81 and 82,554.71 is: 123,874.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,409.83 : 303,719.81 = 82,554.71 : x
  2. Step 2: Convert to fraction form
    202,409.83/303,719.81 = 82,554.71/x
  3. Step 3: Cross multiply
    202,409.83x = 303,719.81 × 82,554.71
  4. Step 4: Simplify right side
    202,409.83x = 25,073,500,835.81
  5. Step 5: Solve for x
    x = 25,073,500,835.81/202,409.83
  6. Step 6: Final answer
    x = 123,874.92

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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.