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Finding the Fourth Proportional to 116,143.56, 160,337.34 and 82,178.64

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Solution

The fourth proportional to 116,143.56, 160,337.34 and 82,178.64 is: 113,448.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,143.56 : 160,337.34 = 82,178.64 : x
  2. Step 2: Convert to fraction form
    116,143.56/160,337.34 = 82,178.64/x
  3. Step 3: Cross multiply
    116,143.56x = 160,337.34 × 82,178.64
  4. Step 4: Simplify right side
    116,143.56x = 13,176,304,542.42
  5. Step 5: Solve for x
    x = 13,176,304,542.42/116,143.56
  6. Step 6: Final answer
    x = 113,448.43

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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.