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Finding the Fourth Proportional to 102,463, 141,398.94 and 57,751

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Solution

The fourth proportional to 102,463, 141,398.94 and 57,751 is: 79,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,463 : 141,398.94 = 57,751 : x
  2. Step 2: Convert to fraction form
    102,463/141,398.94 = 57,751/x
  3. Step 3: Cross multiply
    102,463x = 141,398.94 × 57,751
  4. Step 4: Simplify right side
    102,463x = 8,165,930,183.94
  5. Step 5: Solve for x
    x = 8,165,930,183.94/102,463
  6. Step 6: Final answer
    x = 79,696.38

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Why These Related Problems?

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