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Finding the Fourth Proportional to 203,202.30, 304,655.76 and 84,907.50

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Solution

The fourth proportional to 203,202.30, 304,655.76 and 84,907.50 is: 127,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,202.30 : 304,655.76 = 84,907.50 : x
  2. Step 2: Convert to fraction form
    203,202.30/304,655.76 = 84,907.50/x
  3. Step 3: Cross multiply
    203,202.30x = 304,655.76 × 84,907.50
  4. Step 4: Simplify right side
    203,202.30x = 25,867,558,942.20
  5. Step 5: Solve for x
    x = 25,867,558,942.20/203,202.30
  6. Step 6: Final answer
    x = 127,299.54

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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.