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Finding the Fourth Proportional to 116,174.54, 160,022.14 and 82,124.47

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Solution

The fourth proportional to 116,174.54, 160,022.14 and 82,124.47 is: 113,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,174.54 : 160,022.14 = 82,124.47 : x
  2. Step 2: Convert to fraction form
    116,174.54/160,022.14 = 82,124.47/x
  3. Step 3: Cross multiply
    116,174.54x = 160,022.14 × 82,124.47
  4. Step 4: Simplify right side
    116,174.54x = 13,141,732,225.03
  5. Step 5: Solve for x
    x = 13,141,732,225.03/116,174.54
  6. Step 6: Final answer
    x = 113,120.59

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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.