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Finding the Fourth Proportional to 114,338.17, 171,565.81 and 54,434.42

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Solution

The fourth proportional to 114,338.17, 171,565.81 and 54,434.42 is: 81,679.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,338.17 : 171,565.81 = 54,434.42 : x
  2. Step 2: Convert to fraction form
    114,338.17/171,565.81 = 54,434.42/x
  3. Step 3: Cross multiply
    114,338.17x = 171,565.81 × 54,434.42
  4. Step 4: Simplify right side
    114,338.17x = 9,339,085,359.18
  5. Step 5: Solve for x
    x = 9,339,085,359.18/114,338.17
  6. Step 6: Final answer
    x = 81,679.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.