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Finding the Fourth Proportional to 189,114.16, 261,099.04 and 117,591.44

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Solution

The fourth proportional to 189,114.16, 261,099.04 and 117,591.44 is: 162,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,114.16 : 261,099.04 = 117,591.44 : x
  2. Step 2: Convert to fraction form
    189,114.16/261,099.04 = 117,591.44/x
  3. Step 3: Cross multiply
    189,114.16x = 261,099.04 × 117,591.44
  4. Step 4: Simplify right side
    189,114.16x = 30,703,012,096.22
  5. Step 5: Solve for x
    x = 30,703,012,096.22/189,114.16
  6. Step 6: Final answer
    x = 162,351.74

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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.