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Finding the Fourth Proportional to 203,431.40, 305,074.20 and 103,558.40

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Solution

The fourth proportional to 203,431.40, 305,074.20 and 103,558.40 is: 155,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,431.40 : 305,074.20 = 103,558.40 : x
  2. Step 2: Convert to fraction form
    203,431.40/305,074.20 = 103,558.40/x
  3. Step 3: Cross multiply
    203,431.40x = 305,074.20 × 103,558.40
  4. Step 4: Simplify right side
    203,431.40x = 31,592,996,033.28
  5. Step 5: Solve for x
    x = 31,592,996,033.28/203,431.40
  6. Step 6: Final answer
    x = 155,300.49

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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.