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Finding the Fourth Proportional to 140,201.40, 193,480.86 and 76,541.88

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Solution

The fourth proportional to 140,201.40, 193,480.86 and 76,541.88 is: 105,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,201.40 : 193,480.86 = 76,541.88 : x
  2. Step 2: Convert to fraction form
    140,201.40/193,480.86 = 76,541.88/x
  3. Step 3: Cross multiply
    140,201.40x = 193,480.86 × 76,541.88
  4. Step 4: Simplify right side
    140,201.40x = 14,809,388,768.42
  5. Step 5: Solve for x
    x = 14,809,388,768.42/140,201.40
  6. Step 6: Final answer
    x = 105,629.39

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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.