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Finding the Fourth Proportional to 199,503.56, 275,314.80 and 127,883.54

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Solution

The fourth proportional to 199,503.56, 275,314.80 and 127,883.54 is: 176,479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,503.56 : 275,314.80 = 127,883.54 : x
  2. Step 2: Convert to fraction form
    199,503.56/275,314.80 = 127,883.54/x
  3. Step 3: Cross multiply
    199,503.56x = 275,314.80 × 127,883.54
  4. Step 4: Simplify right side
    199,503.56x = 35,208,231,238.39
  5. Step 5: Solve for x
    x = 35,208,231,238.39/199,503.56
  6. Step 6: Final answer
    x = 176,479.21

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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.