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Finding the Fourth Proportional to 275,172.13, 412,799.21 and 97,664.28

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Solution

The fourth proportional to 275,172.13, 412,799.21 and 97,664.28 is: 146,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,172.13 : 412,799.21 = 97,664.28 : x
  2. Step 2: Convert to fraction form
    275,172.13/412,799.21 = 97,664.28/x
  3. Step 3: Cross multiply
    275,172.13x = 412,799.21 × 97,664.28
  4. Step 4: Simplify right side
    275,172.13x = 40,315,736,841.38
  5. Step 5: Solve for x
    x = 40,315,736,841.38/275,172.13
  6. Step 6: Final answer
    x = 146,510.97

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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.