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Finding the Fourth Proportional to 203,403.20, 304,813.20 and 149,675.90

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Solution

The fourth proportional to 203,403.20, 304,813.20 and 149,675.90 is: 224,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,403.20 : 304,813.20 = 149,675.90 : x
  2. Step 2: Convert to fraction form
    203,403.20/304,813.20 = 149,675.90/x
  3. Step 3: Cross multiply
    203,403.20x = 304,813.20 × 149,675.90
  4. Step 4: Simplify right side
    203,403.20x = 45,623,190,041.88
  5. Step 5: Solve for x
    x = 45,623,190,041.88/203,403.20
  6. Step 6: Final answer
    x = 224,299.27

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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.