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Finding the Fourth Proportional to 202,133.68, 303,230.78 and 65,311.04

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Solution

The fourth proportional to 202,133.68, 303,230.78 and 65,311.04 is: 97,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,133.68 : 303,230.78 = 65,311.04 : x
  2. Step 2: Convert to fraction form
    202,133.68/303,230.78 = 65,311.04/x
  3. Step 3: Cross multiply
    202,133.68x = 303,230.78 × 65,311.04
  4. Step 4: Simplify right side
    202,133.68x = 19,804,317,601.81
  5. Step 5: Solve for x
    x = 19,804,317,601.81/202,133.68
  6. Step 6: Final answer
    x = 97,976.34

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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.