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Finding the Fourth Proportional to 147,013.09, 202,874.10 and 82,476.90

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Solution

The fourth proportional to 147,013.09, 202,874.10 and 82,476.90 is: 113,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,013.09 : 202,874.10 = 82,476.90 : x
  2. Step 2: Convert to fraction form
    147,013.09/202,874.10 = 82,476.90/x
  3. Step 3: Cross multiply
    147,013.09x = 202,874.10 × 82,476.90
  4. Step 4: Simplify right side
    147,013.09x = 16,732,426,858.29
  5. Step 5: Solve for x
    x = 16,732,426,858.29/147,013.09
  6. Step 6: Final answer
    x = 113,815.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.