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Finding the Fourth Proportional to 275,173.11, 412,800.66 and 97,665.27

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Solution

The fourth proportional to 275,173.11, 412,800.66 and 97,665.27 is: 146,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,173.11 : 412,800.66 = 97,665.27 : x
  2. Step 2: Convert to fraction form
    275,173.11/412,800.66 = 97,665.27/x
  3. Step 3: Cross multiply
    275,173.11x = 412,800.66 × 97,665.27
  4. Step 4: Simplify right side
    275,173.11x = 40,316,287,915.08
  5. Step 5: Solve for x
    x = 40,316,287,915.08/275,173.11
  6. Step 6: Final answer
    x = 146,512.46

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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.