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Finding the Fourth Proportional to 203,782.40, 305,704.32 and 63,552

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Solution

The fourth proportional to 203,782.40, 305,704.32 and 63,552 is: 95,337.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,782.40 : 305,704.32 = 63,552 : x
  2. Step 2: Convert to fraction form
    203,782.40/305,704.32 = 63,552/x
  3. Step 3: Cross multiply
    203,782.40x = 305,704.32 × 63,552
  4. Step 4: Simplify right side
    203,782.40x = 19,428,120,944.64
  5. Step 5: Solve for x
    x = 19,428,120,944.64/203,782.40
  6. Step 6: Final answer
    x = 95,337.58

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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.