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Finding the Fourth Proportional to 140,162.74, 193,422.53 and 76,496.33

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Solution

The fourth proportional to 140,162.74, 193,422.53 and 76,496.33 is: 105,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,162.74 : 193,422.53 = 76,496.33 : x
  2. Step 2: Convert to fraction form
    140,162.74/193,422.53 = 76,496.33/x
  3. Step 3: Cross multiply
    140,162.74x = 193,422.53 × 76,496.33
  4. Step 4: Simplify right side
    140,162.74x = 14,796,114,359.11
  5. Step 5: Solve for x
    x = 14,796,114,359.11/140,162.74
  6. Step 6: Final answer
    x = 105,563.82

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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.