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Finding the Fourth Proportional to 161,893.83, 223,414.94 and 89,299.51

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Solution

The fourth proportional to 161,893.83, 223,414.94 and 89,299.51 is: 123,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,893.83 : 223,414.94 = 89,299.51 : x
  2. Step 2: Convert to fraction form
    161,893.83/223,414.94 = 89,299.51/x
  3. Step 3: Cross multiply
    161,893.83x = 223,414.94 × 89,299.51
  4. Step 4: Simplify right side
    161,893.83x = 19,950,844,333.39
  5. Step 5: Solve for x
    x = 19,950,844,333.39/161,893.83
  6. Step 6: Final answer
    x = 123,234.12

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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.