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Finding the Fourth Proportional to 202,178.10, 303,267.15 and 182,495.10

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Solution

The fourth proportional to 202,178.10, 303,267.15 and 182,495.10 is: 273,742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,178.10 : 303,267.15 = 182,495.10 : x
  2. Step 2: Convert to fraction form
    202,178.10/303,267.15 = 182,495.10/x
  3. Step 3: Cross multiply
    202,178.10x = 303,267.15 × 182,495.10
  4. Step 4: Simplify right side
    202,178.10x = 55,344,768,865.97
  5. Step 5: Solve for x
    x = 55,344,768,865.97/202,178.10
  6. Step 6: Final answer
    x = 273,742.65

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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.