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Finding the Fourth Proportional to 255,186.45, 352,168.97 and 142,016.49

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Solution

The fourth proportional to 255,186.45, 352,168.97 and 142,016.49 is: 195,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,186.45 : 352,168.97 = 142,016.49 : x
  2. Step 2: Convert to fraction form
    255,186.45/352,168.97 = 142,016.49/x
  3. Step 3: Cross multiply
    255,186.45x = 352,168.97 × 142,016.49
  4. Step 4: Simplify right side
    255,186.45x = 50,013,800,296.23
  5. Step 5: Solve for x
    x = 50,013,800,296.23/255,186.45
  6. Step 6: Final answer
    x = 195,989.25

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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.