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Finding the Fourth Proportional to 189,167.57, 283,767.65 and 54,232.18

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Solution

The fourth proportional to 189,167.57, 283,767.65 and 54,232.18 is: 81,352.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,167.57 : 283,767.65 = 54,232.18 : x
  2. Step 2: Convert to fraction form
    189,167.57/283,767.65 = 54,232.18/x
  3. Step 3: Cross multiply
    189,167.57x = 283,767.65 × 54,232.18
  4. Step 4: Simplify right side
    189,167.57x = 15,389,336,582.98
  5. Step 5: Solve for x
    x = 15,389,336,582.98/189,167.57
  6. Step 6: Final answer
    x = 81,352.93

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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.