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Finding the Fourth Proportional to 199,419.88, 275,199.64 and 114,553.36

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Solution

The fourth proportional to 199,419.88, 275,199.64 and 114,553.36 is: 158,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,419.88 : 275,199.64 = 114,553.36 : x
  2. Step 2: Convert to fraction form
    199,419.88/275,199.64 = 114,553.36/x
  3. Step 3: Cross multiply
    199,419.88x = 275,199.64 × 114,553.36
  4. Step 4: Simplify right side
    199,419.88x = 31,525,043,432.79
  5. Step 5: Solve for x
    x = 31,525,043,432.79/199,419.88
  6. Step 6: Final answer
    x = 158,083.75

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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.