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Finding the Fourth Proportional to 274,796.68, 412,298.80 and 106,327.10

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Solution

The fourth proportional to 274,796.68, 412,298.80 and 106,327.10 is: 159,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,796.68 : 412,298.80 = 106,327.10 : x
  2. Step 2: Convert to fraction form
    274,796.68/412,298.80 = 106,327.10/x
  3. Step 3: Cross multiply
    274,796.68x = 412,298.80 × 106,327.10
  4. Step 4: Simplify right side
    274,796.68x = 43,838,535,737.48
  5. Step 5: Solve for x
    x = 43,838,535,737.48/274,796.68
  6. Step 6: Final answer
    x = 159,530.81

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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.