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Finding the Fourth Proportional to 199,393.11, 275,006.91 and 127,779.78

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Solution

The fourth proportional to 199,393.11, 275,006.91 and 127,779.78 is: 176,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,393.11 : 275,006.91 = 127,779.78 : x
  2. Step 2: Convert to fraction form
    199,393.11/275,006.91 = 127,779.78/x
  3. Step 3: Cross multiply
    199,393.11x = 275,006.91 × 127,779.78
  4. Step 4: Simplify right side
    199,393.11x = 35,140,322,458.28
  5. Step 5: Solve for x
    x = 35,140,322,458.28/199,393.11
  6. Step 6: Final answer
    x = 176,236.39

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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.