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Finding the Fourth Proportional to 159,745, 220,448.10 and 89,089

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Solution

The fourth proportional to 159,745, 220,448.10 and 89,089 is: 122,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,745 : 220,448.10 = 89,089 : x
  2. Step 2: Convert to fraction form
    159,745/220,448.10 = 89,089/x
  3. Step 3: Cross multiply
    159,745x = 220,448.10 × 89,089
  4. Step 4: Simplify right side
    159,745x = 19,639,500,780.90
  5. Step 5: Solve for x
    x = 19,639,500,780.90/159,745
  6. Step 6: Final answer
    x = 122,942.82

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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.