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Finding the Fourth Proportional to 180,141.20, 269,434.20 and 152,147.60

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Solution

The fourth proportional to 180,141.20, 269,434.20 and 152,147.60 is: 227,564.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,141.20 : 269,434.20 = 152,147.60 : x
  2. Step 2: Convert to fraction form
    180,141.20/269,434.20 = 152,147.60/x
  3. Step 3: Cross multiply
    180,141.20x = 269,434.20 × 152,147.60
  4. Step 4: Simplify right side
    180,141.20x = 40,993,766,887.92
  5. Step 5: Solve for x
    x = 40,993,766,887.92/180,141.20
  6. Step 6: Final answer
    x = 227,564.64

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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.