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Finding the Fourth Proportional to 114,178.96, 171,268.44 and 31,072.96

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Solution

The fourth proportional to 114,178.96, 171,268.44 and 31,072.96 is: 46,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,178.96 : 171,268.44 = 31,072.96 : x
  2. Step 2: Convert to fraction form
    114,178.96/171,268.44 = 31,072.96/x
  3. Step 3: Cross multiply
    114,178.96x = 171,268.44 × 31,072.96
  4. Step 4: Simplify right side
    114,178.96x = 5,321,817,385.38
  5. Step 5: Solve for x
    x = 5,321,817,385.38/114,178.96
  6. Step 6: Final answer
    x = 46,609.44

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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.