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Finding the Fourth Proportional to 202,309.58, 303,461.94 and 52,536.54

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Solution

The fourth proportional to 202,309.58, 303,461.94 and 52,536.54 is: 78,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,309.58 : 303,461.94 = 52,536.54 : x
  2. Step 2: Convert to fraction form
    202,309.58/303,461.94 = 52,536.54/x
  3. Step 3: Cross multiply
    202,309.58x = 303,461.94 × 52,536.54
  4. Step 4: Simplify right side
    202,309.58x = 15,942,840,349.29
  5. Step 5: Solve for x
    x = 15,942,840,349.29/202,309.58
  6. Step 6: Final answer
    x = 78,804.18

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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.