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Finding the Fourth Proportional to 274,705.70, 412,054.56 and 166,660.81

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Solution

The fourth proportional to 274,705.70, 412,054.56 and 166,660.81 is: 249,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,705.70 : 412,054.56 = 166,660.81 : x
  2. Step 2: Convert to fraction form
    274,705.70/412,054.56 = 166,660.81/x
  3. Step 3: Cross multiply
    274,705.70x = 412,054.56 × 166,660.81
  4. Step 4: Simplify right side
    274,705.70x = 68,673,345,703.66
  5. Step 5: Solve for x
    x = 68,673,345,703.66/274,705.70
  6. Step 6: Final answer
    x = 249,988.80

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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.