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Finding the Fourth Proportional to 299,409, 449,187.48 and 89,046.08

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Solution

The fourth proportional to 299,409, 449,187.48 and 89,046.08 is: 133,591.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,409 : 449,187.48 = 89,046.08 : x
  2. Step 2: Convert to fraction form
    299,409/449,187.48 = 89,046.08/x
  3. Step 3: Cross multiply
    299,409x = 449,187.48 × 89,046.08
  4. Step 4: Simplify right side
    299,409x = 39,998,384,279.08
  5. Step 5: Solve for x
    x = 39,998,384,279.08/299,409
  6. Step 6: Final answer
    x = 133,591.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.