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Finding the Fourth Proportional to 114,105.12, 171,015.12 and 54,924.96

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Solution

The fourth proportional to 114,105.12, 171,015.12 and 54,924.96 is: 82,318.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,105.12 : 171,015.12 = 54,924.96 : x
  2. Step 2: Convert to fraction form
    114,105.12/171,015.12 = 54,924.96/x
  3. Step 3: Cross multiply
    114,105.12x = 171,015.12 × 54,924.96
  4. Step 4: Simplify right side
    114,105.12x = 9,392,998,625.40
  5. Step 5: Solve for x
    x = 9,392,998,625.40/114,105.12
  6. Step 6: Final answer
    x = 82,318.82

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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.