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Finding the Fourth Proportional to 203,475.40, 305,358.90 and 114,634.60

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Solution

The fourth proportional to 203,475.40, 305,358.90 and 114,634.60 is: 172,034.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,475.40 : 305,358.90 = 114,634.60 : x
  2. Step 2: Convert to fraction form
    203,475.40/305,358.90 = 114,634.60/x
  3. Step 3: Cross multiply
    203,475.40x = 305,358.90 × 114,634.60
  4. Step 4: Simplify right side
    203,475.40x = 35,004,695,357.94
  5. Step 5: Solve for x
    x = 35,004,695,357.94/203,475.40
  6. Step 6: Final answer
    x = 172,034.04

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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.