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Finding the Fourth Proportional to 199,392.84, 275,006.56 and 127,779.54

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Solution

The fourth proportional to 199,392.84, 275,006.56 and 127,779.54 is: 176,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,392.84 : 275,006.56 = 127,779.54 : x
  2. Step 2: Convert to fraction form
    199,392.84/275,006.56 = 127,779.54/x
  3. Step 3: Cross multiply
    199,392.84x = 275,006.56 × 127,779.54
  4. Step 4: Simplify right side
    199,392.84x = 35,140,211,733.78
  5. Step 5: Solve for x
    x = 35,140,211,733.78/199,392.84
  6. Step 6: Final answer
    x = 176,236.08

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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.