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Finding the Fourth Proportional to 144,022.40, 198,744.80 and 83,588.32

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Solution

The fourth proportional to 144,022.40, 198,744.80 and 83,588.32 is: 115,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,022.40 : 198,744.80 = 83,588.32 : x
  2. Step 2: Convert to fraction form
    144,022.40/198,744.80 = 83,588.32/x
  3. Step 3: Cross multiply
    144,022.40x = 198,744.80 × 83,588.32
  4. Step 4: Simplify right side
    144,022.40x = 16,612,743,940.74
  5. Step 5: Solve for x
    x = 16,612,743,940.74/144,022.40
  6. Step 6: Final answer
    x = 115,348.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.