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Finding the Fourth Proportional to 180,999.36, 270,991.44 and 136,486.08

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Solution

The fourth proportional to 180,999.36, 270,991.44 and 136,486.08 is: 204,346.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,999.36 : 270,991.44 = 136,486.08 : x
  2. Step 2: Convert to fraction form
    180,999.36/270,991.44 = 136,486.08/x
  3. Step 3: Cross multiply
    180,999.36x = 270,991.44 × 136,486.08
  4. Step 4: Simplify right side
    180,999.36x = 36,986,559,359.16
  5. Step 5: Solve for x
    x = 36,986,559,359.16/180,999.36
  6. Step 6: Final answer
    x = 204,346.35

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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.