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Finding the Fourth Proportional to 138,055.98, 190,439.42 and 82,851.20

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Solution

The fourth proportional to 138,055.98, 190,439.42 and 82,851.20 is: 114,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,055.98 : 190,439.42 = 82,851.20 : x
  2. Step 2: Convert to fraction form
    138,055.98/190,439.42 = 82,851.20/x
  3. Step 3: Cross multiply
    138,055.98x = 190,439.42 × 82,851.20
  4. Step 4: Simplify right side
    138,055.98x = 15,778,133,107.85
  5. Step 5: Solve for x
    x = 15,778,133,107.85/138,055.98
  6. Step 6: Final answer
    x = 114,287.94

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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.