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Finding the Fourth Proportional to 203,331.54, 305,017.59 and 75,282.01

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Solution

The fourth proportional to 203,331.54, 305,017.59 and 75,282.01 is: 112,930.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,331.54 : 305,017.59 = 75,282.01 : x
  2. Step 2: Convert to fraction form
    203,331.54/305,017.59 = 75,282.01/x
  3. Step 3: Cross multiply
    203,331.54x = 305,017.59 × 75,282.01
  4. Step 4: Simplify right side
    203,331.54x = 22,962,336,250.99
  5. Step 5: Solve for x
    x = 22,962,336,250.99/203,331.54
  6. Step 6: Final answer
    x = 112,930.52

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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.