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Finding the Fourth Proportional to 202,306.41, 303,645.92 and 102,537.29

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Solution

The fourth proportional to 202,306.41, 303,645.92 and 102,537.29 is: 153,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,306.41 : 303,645.92 = 102,537.29 : x
  2. Step 2: Convert to fraction form
    202,306.41/303,645.92 = 102,537.29/x
  3. Step 3: Cross multiply
    202,306.41x = 303,645.92 × 102,537.29
  4. Step 4: Simplify right side
    202,306.41x = 31,135,030,002.79
  5. Step 5: Solve for x
    x = 31,135,030,002.79/202,306.41
  6. Step 6: Final answer
    x = 153,900.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.