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Finding the Fourth Proportional to 203,165.80, 304,230.30 and 161,693.80

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Solution

The fourth proportional to 203,165.80, 304,230.30 and 161,693.80 is: 242,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,165.80 : 304,230.30 = 161,693.80 : x
  2. Step 2: Convert to fraction form
    203,165.80/304,230.30 = 161,693.80/x
  3. Step 3: Cross multiply
    203,165.80x = 304,230.30 × 161,693.80
  4. Step 4: Simplify right side
    203,165.80x = 49,192,153,282.14
  5. Step 5: Solve for x
    x = 49,192,153,282.14/203,165.80
  6. Step 6: Final answer
    x = 242,128.12

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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.