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Finding the Fourth Proportional to 140,314.96, 193,648 and 76,662.32

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Solution

The fourth proportional to 140,314.96, 193,648 and 76,662.32 is: 105,801.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,314.96 : 193,648 = 76,662.32 : x
  2. Step 2: Convert to fraction form
    140,314.96/193,648 = 76,662.32/x
  3. Step 3: Cross multiply
    140,314.96x = 193,648 × 76,662.32
  4. Step 4: Simplify right side
    140,314.96x = 14,845,504,943.36
  5. Step 5: Solve for x
    x = 14,845,504,943.36/140,314.96
  6. Step 6: Final answer
    x = 105,801.30

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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.