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Finding the Fourth Proportional to 189,080.16, 283,519.92 and 55,942.08

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Solution

The fourth proportional to 189,080.16, 283,519.92 and 55,942.08 is: 83,883.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,080.16 : 283,519.92 = 55,942.08 : x
  2. Step 2: Convert to fraction form
    189,080.16/283,519.92 = 55,942.08/x
  3. Step 3: Cross multiply
    189,080.16x = 283,519.92 × 55,942.08
  4. Step 4: Simplify right side
    189,080.16x = 15,860,694,046.23
  5. Step 5: Solve for x
    x = 15,860,694,046.23/189,080.16
  6. Step 6: Final answer
    x = 83,883.44

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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.