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Finding the Fourth Proportional to 189,414.24, 261,486.28 and 117,817.28

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Solution

The fourth proportional to 189,414.24, 261,486.28 and 117,817.28 is: 162,646.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,414.24 : 261,486.28 = 117,817.28 : x
  2. Step 2: Convert to fraction form
    189,414.24/261,486.28 = 117,817.28/x
  3. Step 3: Cross multiply
    189,414.24x = 261,486.28 × 117,817.28
  4. Step 4: Simplify right side
    189,414.24x = 30,807,602,266.92
  5. Step 5: Solve for x
    x = 30,807,602,266.92/189,414.24
  6. Step 6: Final answer
    x = 162,646.71

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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.