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Finding the Fourth Proportional to 189,033.12, 283,605.12 and 55,916.88

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Solution

The fourth proportional to 189,033.12, 283,605.12 and 55,916.88 is: 83,891.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,033.12 : 283,605.12 = 55,916.88 : x
  2. Step 2: Convert to fraction form
    189,033.12/283,605.12 = 55,916.88/x
  3. Step 3: Cross multiply
    189,033.12x = 283,605.12 × 55,916.88
  4. Step 4: Simplify right side
    189,033.12x = 15,858,313,462.43
  5. Step 5: Solve for x
    x = 15,858,313,462.43/189,033.12
  6. Step 6: Final answer
    x = 83,891.72

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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.