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Finding the Fourth Proportional to 275,097.72, 412,564.34 and 82,964.10

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Solution

The fourth proportional to 275,097.72, 412,564.34 and 82,964.10 is: 124,421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,097.72 : 412,564.34 = 82,964.10 : x
  2. Step 2: Convert to fraction form
    275,097.72/412,564.34 = 82,964.10/x
  3. Step 3: Cross multiply
    275,097.72x = 412,564.34 × 82,964.10
  4. Step 4: Simplify right side
    275,097.72x = 34,228,029,160.19
  5. Step 5: Solve for x
    x = 34,228,029,160.19/275,097.72
  6. Step 6: Final answer
    x = 124,421.35

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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.