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Finding the Fourth Proportional to 203,952.30, 305,928.45 and 173,771.70

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Solution

The fourth proportional to 203,952.30, 305,928.45 and 173,771.70 is: 260,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,952.30 : 305,928.45 = 173,771.70 : x
  2. Step 2: Convert to fraction form
    203,952.30/305,928.45 = 173,771.70/x
  3. Step 3: Cross multiply
    203,952.30x = 305,928.45 × 173,771.70
  4. Step 4: Simplify right side
    203,952.30x = 53,161,706,834.87
  5. Step 5: Solve for x
    x = 53,161,706,834.87/203,952.30
  6. Step 6: Final answer
    x = 260,657.55

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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.