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Finding the Fourth Proportional to 137,119.44, 189,216.96 and 75,862.08

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Solution

The fourth proportional to 137,119.44, 189,216.96 and 75,862.08 is: 104,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,119.44 : 189,216.96 = 75,862.08 : x
  2. Step 2: Convert to fraction form
    137,119.44/189,216.96 = 75,862.08/x
  3. Step 3: Cross multiply
    137,119.44x = 189,216.96 × 75,862.08
  4. Step 4: Simplify right side
    137,119.44x = 14,354,392,156.88
  5. Step 5: Solve for x
    x = 14,354,392,156.88/137,119.44
  6. Step 6: Final answer
    x = 104,685.32

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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.