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Finding the Fourth Proportional to 275,155.68, 412,664.25 and 106,618.17

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Solution

The fourth proportional to 275,155.68, 412,664.25 and 106,618.17 is: 159,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,155.68 : 412,664.25 = 106,618.17 : x
  2. Step 2: Convert to fraction form
    275,155.68/412,664.25 = 106,618.17/x
  3. Step 3: Cross multiply
    275,155.68x = 412,664.25 × 106,618.17
  4. Step 4: Simplify right side
    275,155.68x = 43,997,507,159.42
  5. Step 5: Solve for x
    x = 43,997,507,159.42/275,155.68
  6. Step 6: Final answer
    x = 159,900.41

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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.