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Finding the Fourth Proportional to 275,173.56, 412,801.32 and 97,665.68

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Solution

The fourth proportional to 275,173.56, 412,801.32 and 97,665.68 is: 146,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,173.56 : 412,801.32 = 97,665.68 : x
  2. Step 2: Convert to fraction form
    275,173.56/412,801.32 = 97,665.68/x
  3. Step 3: Cross multiply
    275,173.56x = 412,801.32 × 97,665.68
  4. Step 4: Simplify right side
    275,173.56x = 40,316,521,622.70
  5. Step 5: Solve for x
    x = 40,316,521,622.70/275,173.56
  6. Step 6: Final answer
    x = 146,513.06

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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.