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Finding the Fourth Proportional to 108,020.10, 161,738.55 and 108,020.10

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Solution

The fourth proportional to 108,020.10, 161,738.55 and 108,020.10 is: 161,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,020.10 : 161,738.55 = 108,020.10 : x
  2. Step 2: Convert to fraction form
    108,020.10/161,738.55 = 108,020.10/x
  3. Step 3: Cross multiply
    108,020.10x = 161,738.55 × 108,020.10
  4. Step 4: Simplify right side
    108,020.10x = 17,471,014,344.86
  5. Step 5: Solve for x
    x = 17,471,014,344.86/108,020.10
  6. Step 6: Final answer
    x = 161,738.55

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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.