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Finding the Fourth Proportional to 199,407.84, 275,027.28 and 127,794.56

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Solution

The fourth proportional to 199,407.84, 275,027.28 and 127,794.56 is: 176,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,407.84 : 275,027.28 = 127,794.56 : x
  2. Step 2: Convert to fraction form
    199,407.84/275,027.28 = 127,794.56/x
  3. Step 3: Cross multiply
    199,407.84x = 275,027.28 × 127,794.56
  4. Step 4: Simplify right side
    199,407.84x = 35,146,990,235.60
  5. Step 5: Solve for x
    x = 35,146,990,235.60/199,407.84
  6. Step 6: Final answer
    x = 176,256.81

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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.