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Finding the Fourth Proportional to 203,821.70, 304,359.93 and 166,455.90

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Solution

The fourth proportional to 203,821.70, 304,359.93 and 166,455.90 is: 248,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,821.70 : 304,359.93 = 166,455.90 : x
  2. Step 2: Convert to fraction form
    203,821.70/304,359.93 = 166,455.90/x
  3. Step 3: Cross multiply
    203,821.70x = 304,359.93 × 166,455.90
  4. Step 4: Simplify right side
    203,821.70x = 50,662,506,072.09
  5. Step 5: Solve for x
    x = 50,662,506,072.09/203,821.70
  6. Step 6: Final answer
    x = 248,562.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.