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Finding the Fourth Proportional to 361,216.80, 541,827 and 148,101.12

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Solution

The fourth proportional to 361,216.80, 541,827 and 148,101.12 is: 222,152.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,216.80 : 541,827 = 148,101.12 : x
  2. Step 2: Convert to fraction form
    361,216.80/541,827 = 148,101.12/x
  3. Step 3: Cross multiply
    361,216.80x = 541,827 × 148,101.12
  4. Step 4: Simplify right side
    361,216.80x = 80,245,185,546.24
  5. Step 5: Solve for x
    x = 80,245,185,546.24/361,216.80
  6. Step 6: Final answer
    x = 222,152.42

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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.