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Finding the Fourth Proportional to 144,209.37, 199,007.84 and 83,815.41

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Solution

The fourth proportional to 144,209.37, 199,007.84 and 83,815.41 is: 115,664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,209.37 : 199,007.84 = 83,815.41 : x
  2. Step 2: Convert to fraction form
    144,209.37/199,007.84 = 83,815.41/x
  3. Step 3: Cross multiply
    144,209.37x = 199,007.84 × 83,815.41
  4. Step 4: Simplify right side
    144,209.37x = 16,679,923,283.74
  5. Step 5: Solve for x
    x = 16,679,923,283.74/144,209.37
  6. Step 6: Final answer
    x = 115,664.63

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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.