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Finding the Fourth Proportional to 199,696.74, 275,607.54 and 113,638.97

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Solution

The fourth proportional to 199,696.74, 275,607.54 and 113,638.97 is: 156,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,696.74 : 275,607.54 = 113,638.97 : x
  2. Step 2: Convert to fraction form
    199,696.74/275,607.54 = 113,638.97/x
  3. Step 3: Cross multiply
    199,696.74x = 275,607.54 × 113,638.97
  4. Step 4: Simplify right side
    199,696.74x = 31,319,757,089.43
  5. Step 5: Solve for x
    x = 31,319,757,089.43/199,696.74
  6. Step 6: Final answer
    x = 156,836.60

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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.