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Finding the Fourth Proportional to 180,135.54, 270,216.90 and 53,765.82

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Solution

The fourth proportional to 180,135.54, 270,216.90 and 53,765.82 is: 80,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,135.54 : 270,216.90 = 53,765.82 : x
  2. Step 2: Convert to fraction form
    180,135.54/270,216.90 = 53,765.82/x
  3. Step 3: Cross multiply
    180,135.54x = 270,216.90 × 53,765.82
  4. Step 4: Simplify right side
    180,135.54x = 14,528,433,206.36
  5. Step 5: Solve for x
    x = 14,528,433,206.36/180,135.54
  6. Step 6: Final answer
    x = 80,652.79

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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.