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Finding the Fourth Proportional to 275,975.49, 414,123.83 and 116,039.84

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Solution

The fourth proportional to 275,975.49, 414,123.83 and 116,039.84 is: 174,127.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,975.49 : 414,123.83 = 116,039.84 : x
  2. Step 2: Convert to fraction form
    275,975.49/414,123.83 = 116,039.84/x
  3. Step 3: Cross multiply
    275,975.49x = 414,123.83 × 116,039.84
  4. Step 4: Simplify right side
    275,975.49x = 48,054,862,923.98
  5. Step 5: Solve for x
    x = 48,054,862,923.98/275,975.49
  6. Step 6: Final answer
    x = 174,127.28

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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.