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Finding the Fourth Proportional to 165,740.50, 248,610.76 and 54,932.50

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Solution

The fourth proportional to 165,740.50, 248,610.76 and 54,932.50 is: 82,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,740.50 : 248,610.76 = 54,932.50 : x
  2. Step 2: Convert to fraction form
    165,740.50/248,610.76 = 54,932.50/x
  3. Step 3: Cross multiply
    165,740.50x = 248,610.76 × 54,932.50
  4. Step 4: Simplify right side
    165,740.50x = 13,656,810,573.70
  5. Step 5: Solve for x
    x = 13,656,810,573.70/165,740.50
  6. Step 6: Final answer
    x = 82,398.75

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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.