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Finding the Fourth Proportional to 165,576.96, 248,287.68 and 76,775.04

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Solution

The fourth proportional to 165,576.96, 248,287.68 and 76,775.04 is: 115,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,576.96 : 248,287.68 = 76,775.04 : x
  2. Step 2: Convert to fraction form
    165,576.96/248,287.68 = 76,775.04/x
  3. Step 3: Cross multiply
    165,576.96x = 248,287.68 × 76,775.04
  4. Step 4: Simplify right side
    165,576.96x = 19,062,296,563.51
  5. Step 5: Solve for x
    x = 19,062,296,563.51/165,576.96
  6. Step 6: Final answer
    x = 115,126.50

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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.