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Finding the Fourth Proportional to 180,391.54, 270,507.32 and 96,136.00

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Solution

The fourth proportional to 180,391.54, 270,507.32 and 96,136.00 is: 144,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,391.54 : 270,507.32 = 96,136.00 : x
  2. Step 2: Convert to fraction form
    180,391.54/270,507.32 = 96,136.00/x
  3. Step 3: Cross multiply
    180,391.54x = 270,507.32 × 96,136.00
  4. Step 4: Simplify right side
    180,391.54x = 26,005,491,967.05
  5. Step 5: Solve for x
    x = 26,005,491,967.05/180,391.54
  6. Step 6: Final answer
    x = 144,161.37

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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.