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Finding the Fourth Proportional to 161,934, 223,499.16 and 94,866

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Solution

The fourth proportional to 161,934, 223,499.16 and 94,866 is: 130,932.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,934 : 223,499.16 = 94,866 : x
  2. Step 2: Convert to fraction form
    161,934/223,499.16 = 94,866/x
  3. Step 3: Cross multiply
    161,934x = 223,499.16 × 94,866
  4. Step 4: Simplify right side
    161,934x = 21,202,471,312.56
  5. Step 5: Solve for x
    x = 21,202,471,312.56/161,934
  6. Step 6: Final answer
    x = 130,932.80

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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.