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Finding the Fourth Proportional to 114,256.58, 171,383.01 and 31,150.58

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Solution

The fourth proportional to 114,256.58, 171,383.01 and 31,150.58 is: 46,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,256.58 : 171,383.01 = 31,150.58 : x
  2. Step 2: Convert to fraction form
    114,256.58/171,383.01 = 31,150.58/x
  3. Step 3: Cross multiply
    114,256.58x = 171,383.01 × 31,150.58
  4. Step 4: Simplify right side
    114,256.58x = 5,338,679,306.73
  5. Step 5: Solve for x
    x = 5,338,679,306.73/114,256.58
  6. Step 6: Final answer
    x = 46,725.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.