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Finding the Fourth Proportional to 274,994.64, 412,493.78 and 106,533.68

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Solution

The fourth proportional to 274,994.64, 412,493.78 and 106,533.68 is: 159,801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,994.64 : 412,493.78 = 106,533.68 : x
  2. Step 2: Convert to fraction form
    274,994.64/412,493.78 = 106,533.68/x
  3. Step 3: Cross multiply
    274,994.64x = 412,493.78 × 106,533.68
  4. Step 4: Simplify right side
    274,994.64x = 43,944,478,564.38
  5. Step 5: Solve for x
    x = 43,944,478,564.38/274,994.64
  6. Step 6: Final answer
    x = 159,801.22

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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.