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Finding the Fourth Proportional to 199,302.88, 275,048.91 and 114,425.41

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Solution

The fourth proportional to 199,302.88, 275,048.91 and 114,425.41 is: 157,913.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,302.88 : 275,048.91 = 114,425.41 : x
  2. Step 2: Convert to fraction form
    199,302.88/275,048.91 = 114,425.41/x
  3. Step 3: Cross multiply
    199,302.88x = 275,048.91 × 114,425.41
  4. Step 4: Simplify right side
    199,302.88x = 31,472,584,296.80
  5. Step 5: Solve for x
    x = 31,472,584,296.80/199,302.88
  6. Step 6: Final answer
    x = 157,913.34

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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.