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Finding the Fourth Proportional to 180,494.97, 270,446.54 and 127,809.87

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Solution

The fourth proportional to 180,494.97, 270,446.54 and 127,809.87 is: 191,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,494.97 : 270,446.54 = 127,809.87 : x
  2. Step 2: Convert to fraction form
    180,494.97/270,446.54 = 127,809.87/x
  3. Step 3: Cross multiply
    180,494.97x = 270,446.54 × 127,809.87
  4. Step 4: Simplify right side
    180,494.97x = 34,565,736,480.30
  5. Step 5: Solve for x
    x = 34,565,736,480.30/180,494.97
  6. Step 6: Final answer
    x = 191,505.26

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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.