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Finding the Fourth Proportional to 114,097.44, 171,073.26 and 54,815.16

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Solution

The fourth proportional to 114,097.44, 171,073.26 and 54,815.16 is: 82,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,097.44 : 171,073.26 = 54,815.16 : x
  2. Step 2: Convert to fraction form
    114,097.44/171,073.26 = 54,815.16/x
  3. Step 3: Cross multiply
    114,097.44x = 171,073.26 × 54,815.16
  4. Step 4: Simplify right side
    114,097.44x = 9,377,408,118.62
  5. Step 5: Solve for x
    x = 9,377,408,118.62/114,097.44
  6. Step 6: Final answer
    x = 82,187.72

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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.