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Finding the Fourth Proportional to 160,892.80, 222,045.44 and 89,296

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Solution

The fourth proportional to 160,892.80, 222,045.44 and 89,296 is: 123,235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,892.80 : 222,045.44 = 89,296 : x
  2. Step 2: Convert to fraction form
    160,892.80/222,045.44 = 89,296/x
  3. Step 3: Cross multiply
    160,892.80x = 222,045.44 × 89,296
  4. Step 4: Simplify right side
    160,892.80x = 19,827,769,610.24
  5. Step 5: Solve for x
    x = 19,827,769,610.24/160,892.80
  6. Step 6: Final answer
    x = 123,235.90

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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.