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Finding the Fourth Proportional to 161,892, 223,410.96 and 94,824

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Solution

The fourth proportional to 161,892, 223,410.96 and 94,824 is: 130,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,892 : 223,410.96 = 94,824 : x
  2. Step 2: Convert to fraction form
    161,892/223,410.96 = 94,824/x
  3. Step 3: Cross multiply
    161,892x = 223,410.96 × 94,824
  4. Step 4: Simplify right side
    161,892x = 21,184,720,871.04
  5. Step 5: Solve for x
    x = 21,184,720,871.04/161,892
  6. Step 6: Final answer
    x = 130,857.12

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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.