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Finding the Fourth Proportional to 127,590.56, 176,114.24 and 82,268.64

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Solution

The fourth proportional to 127,590.56, 176,114.24 and 82,268.64 is: 113,556.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,590.56 : 176,114.24 = 82,268.64 : x
  2. Step 2: Convert to fraction form
    127,590.56/176,114.24 = 82,268.64/x
  3. Step 3: Cross multiply
    127,590.56x = 176,114.24 × 82,268.64
  4. Step 4: Simplify right side
    127,590.56x = 14,488,679,009.43
  5. Step 5: Solve for x
    x = 14,488,679,009.43/127,590.56
  6. Step 6: Final answer
    x = 113,556.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.