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Finding the Fourth Proportional to 199,411.93, 275,191.71 and 108,767.87

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Solution

The fourth proportional to 199,411.93, 275,191.71 and 108,767.87 is: 150,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,411.93 : 275,191.71 = 108,767.87 : x
  2. Step 2: Convert to fraction form
    199,411.93/275,191.71 = 108,767.87/x
  3. Step 3: Cross multiply
    199,411.93x = 275,191.71 × 108,767.87
  4. Step 4: Simplify right side
    199,411.93x = 29,932,015,386.49
  5. Step 5: Solve for x
    x = 29,932,015,386.49/199,411.93
  6. Step 6: Final answer
    x = 150,101.43

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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.