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Finding the Fourth Proportional to 138,048.70, 190,504.89 and 76,794.16

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Solution

The fourth proportional to 138,048.70, 190,504.89 and 76,794.16 is: 105,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,048.70 : 190,504.89 = 76,794.16 : x
  2. Step 2: Convert to fraction form
    138,048.70/190,504.89 = 76,794.16/x
  3. Step 3: Cross multiply
    138,048.70x = 190,504.89 × 76,794.16
  4. Step 4: Simplify right side
    138,048.70x = 14,629,662,050.92
  5. Step 5: Solve for x
    x = 14,629,662,050.92/138,048.70
  6. Step 6: Final answer
    x = 105,974.65

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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.