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Finding the Fourth Proportional to 180,250, 270,537.50 and 96,080.26

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Solution

The fourth proportional to 180,250, 270,537.50 and 96,080.26 is: 144,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,250 : 270,537.50 = 96,080.26 : x
  2. Step 2: Convert to fraction form
    180,250/270,537.50 = 96,080.26/x
  3. Step 3: Cross multiply
    180,250x = 270,537.50 × 96,080.26
  4. Step 4: Simplify right side
    180,250x = 25,993,313,339.75
  5. Step 5: Solve for x
    x = 25,993,313,339.75/180,250
  6. Step 6: Final answer
    x = 144,207.01

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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.