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Finding the Fourth Proportional to 160,128.14, 220,992.84 and 137,541.69

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Solution

The fourth proportional to 160,128.14, 220,992.84 and 137,541.69 is: 189,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,128.14 : 220,992.84 = 137,541.69 : x
  2. Step 2: Convert to fraction form
    160,128.14/220,992.84 = 137,541.69/x
  3. Step 3: Cross multiply
    160,128.14x = 220,992.84 × 137,541.69
  4. Step 4: Simplify right side
    160,128.14x = 30,395,728,691.50
  5. Step 5: Solve for x
    x = 30,395,728,691.50/160,128.14
  6. Step 6: Final answer
    x = 189,821.29

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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.