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Finding the Fourth Proportional to 189,175.64, 283,764.48 and 56,057.04

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Solution

The fourth proportional to 189,175.64, 283,764.48 and 56,057.04 is: 84,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,175.64 : 283,764.48 = 56,057.04 : x
  2. Step 2: Convert to fraction form
    189,175.64/283,764.48 = 56,057.04/x
  3. Step 3: Cross multiply
    189,175.64x = 283,764.48 × 56,057.04
  4. Step 4: Simplify right side
    189,175.64x = 15,906,996,805.94
  5. Step 5: Solve for x
    x = 15,906,996,805.94/189,175.64
  6. Step 6: Final answer
    x = 84,085.86

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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.