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Finding the Fourth Proportional to 114,447.80, 171,623.10 and 55,301.60

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Solution

The fourth proportional to 114,447.80, 171,623.10 and 55,301.60 is: 82,928.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,447.80 : 171,623.10 = 55,301.60 : x
  2. Step 2: Convert to fraction form
    114,447.80/171,623.10 = 55,301.60/x
  3. Step 3: Cross multiply
    114,447.80x = 171,623.10 × 55,301.60
  4. Step 4: Simplify right side
    114,447.80x = 9,491,032,026.96
  5. Step 5: Solve for x
    x = 9,491,032,026.96/114,447.80
  6. Step 6: Final answer
    x = 82,928.92

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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.