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Finding the Fourth Proportional to 161,905.93, 223,431.06 and 89,311.38

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Solution

The fourth proportional to 161,905.93, 223,431.06 and 89,311.38 is: 123,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,905.93 : 223,431.06 = 89,311.38 : x
  2. Step 2: Convert to fraction form
    161,905.93/223,431.06 = 89,311.38/x
  3. Step 3: Cross multiply
    161,905.93x = 223,431.06 × 89,311.38
  4. Step 4: Simplify right side
    161,905.93x = 19,954,937,183.34
  5. Step 5: Solve for x
    x = 19,954,937,183.34/161,905.93
  6. Step 6: Final answer
    x = 123,250.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.