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Finding the Fourth Proportional to 140,590.66, 194,015.11 and 76,928.46

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Solution

The fourth proportional to 140,590.66, 194,015.11 and 76,928.46 is: 106,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,590.66 : 194,015.11 = 76,928.46 : x
  2. Step 2: Convert to fraction form
    140,590.66/194,015.11 = 76,928.46/x
  3. Step 3: Cross multiply
    140,590.66x = 194,015.11 × 76,928.46
  4. Step 4: Simplify right side
    140,590.66x = 14,925,283,629.03
  5. Step 5: Solve for x
    x = 14,925,283,629.03/140,590.66
  6. Step 6: Final answer
    x = 106,161.27

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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.