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Finding the Fourth Proportional to 180,059.64, 270,147.78 and 86,553.24

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Solution

The fourth proportional to 180,059.64, 270,147.78 and 86,553.24 is: 129,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,059.64 : 270,147.78 = 86,553.24 : x
  2. Step 2: Convert to fraction form
    180,059.64/270,147.78 = 86,553.24/x
  3. Step 3: Cross multiply
    180,059.64x = 270,147.78 × 86,553.24
  4. Step 4: Simplify right side
    180,059.64x = 23,382,165,637.81
  5. Step 5: Solve for x
    x = 23,382,165,637.81/180,059.64
  6. Step 6: Final answer
    x = 129,857.89

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1.5x scale

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.