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Finding the Fourth Proportional to 100,313, 138,431.96 and 55,601

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Solution

The fourth proportional to 100,313, 138,431.96 and 55,601 is: 76,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,313 : 138,431.96 = 55,601 : x
  2. Step 2: Convert to fraction form
    100,313/138,431.96 = 55,601/x
  3. Step 3: Cross multiply
    100,313x = 138,431.96 × 55,601
  4. Step 4: Simplify right side
    100,313x = 7,696,955,407.96
  5. Step 5: Solve for x
    x = 7,696,955,407.96/100,313
  6. Step 6: Final answer
    x = 76,729.39

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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.