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Finding the Fourth Proportional to 161,468.87, 222,827.00 and 89,853.53

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Solution

The fourth proportional to 161,468.87, 222,827.00 and 89,853.53 is: 123,997.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,468.87 : 222,827.00 = 89,853.53 : x
  2. Step 2: Convert to fraction form
    161,468.87/222,827.00 = 89,853.53/x
  3. Step 3: Cross multiply
    161,468.87x = 222,827.00 × 89,853.53
  4. Step 4: Simplify right side
    161,468.87x = 20,021,790,965.91
  5. Step 5: Solve for x
    x = 20,021,790,965.91/161,468.87
  6. Step 6: Final answer
    x = 123,997.84

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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.