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Finding the Fourth Proportional to 138,053.41, 190,529.39 and 76,805.66

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Solution

The fourth proportional to 138,053.41, 190,529.39 and 76,805.66 is: 106,000.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,053.41 : 190,529.39 = 76,805.66 : x
  2. Step 2: Convert to fraction form
    138,053.41/190,529.39 = 76,805.66/x
  3. Step 3: Cross multiply
    138,053.41x = 190,529.39 × 76,805.66
  4. Step 4: Simplify right side
    138,053.41x = 14,633,735,164.32
  5. Step 5: Solve for x
    x = 14,633,735,164.32/138,053.41
  6. Step 6: Final answer
    x = 106,000.54

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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.