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Finding the Fourth Proportional to 102,992.14, 142,132.62 and 57,672.01

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Solution

The fourth proportional to 102,992.14, 142,132.62 and 57,672.01 is: 79,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,992.14 : 142,132.62 = 57,672.01 : x
  2. Step 2: Convert to fraction form
    102,992.14/142,132.62 = 57,672.01/x
  3. Step 3: Cross multiply
    102,992.14x = 142,132.62 × 57,672.01
  4. Step 4: Simplify right side
    102,992.14x = 8,197,073,881.97
  5. Step 5: Solve for x
    x = 8,197,073,881.97/102,992.14
  6. Step 6: Final answer
    x = 79,589.32

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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.