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Finding the Fourth Proportional to 81,283.10, 113,874.10 and 81,283.10

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Solution

The fourth proportional to 81,283.10, 113,874.10 and 81,283.10 is: 113,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,283.10 : 113,874.10 = 81,283.10 : x
  2. Step 2: Convert to fraction form
    81,283.10/113,874.10 = 81,283.10/x
  3. Step 3: Cross multiply
    81,283.10x = 113,874.10 × 81,283.10
  4. Step 4: Simplify right side
    81,283.10x = 9,256,039,857.71
  5. Step 5: Solve for x
    x = 9,256,039,857.71/81,283.10
  6. Step 6: Final answer
    x = 113,874.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.