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Finding the Fourth Proportional to 199,875.89, 276,055.49 and 136,102.97

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Solution

The fourth proportional to 199,875.89, 276,055.49 and 136,102.97 is: 187,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,875.89 : 276,055.49 = 136,102.97 : x
  2. Step 2: Convert to fraction form
    199,875.89/276,055.49 = 136,102.97/x
  3. Step 3: Cross multiply
    199,875.89x = 276,055.49 × 136,102.97
  4. Step 4: Simplify right side
    199,875.89x = 37,571,971,393.29
  5. Step 5: Solve for x
    x = 37,571,971,393.29/199,875.89
  6. Step 6: Final answer
    x = 187,976.51

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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.