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Finding the Fourth Proportional to 161,298.30, 222,599.52 and 89,676.78

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Solution

The fourth proportional to 161,298.30, 222,599.52 and 89,676.78 is: 123,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,298.30 : 222,599.52 = 89,676.78 : x
  2. Step 2: Convert to fraction form
    161,298.30/222,599.52 = 89,676.78/x
  3. Step 3: Cross multiply
    161,298.30x = 222,599.52 × 89,676.78
  4. Step 4: Simplify right side
    161,298.30x = 19,962,008,183.15
  5. Step 5: Solve for x
    x = 19,962,008,183.15/161,298.30
  6. Step 6: Final answer
    x = 123,758.33

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1.5x scale

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.