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Finding the Fourth Proportional to 235,467.72, 353,213.84 and 77,708.48

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Solution

The fourth proportional to 235,467.72, 353,213.84 and 77,708.48 is: 116,566.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,467.72 : 353,213.84 = 77,708.48 : x
  2. Step 2: Convert to fraction form
    235,467.72/353,213.84 = 77,708.48/x
  3. Step 3: Cross multiply
    235,467.72x = 353,213.84 × 77,708.48
  4. Step 4: Simplify right side
    235,467.72x = 27,447,709,049.57
  5. Step 5: Solve for x
    x = 27,447,709,049.57/235,467.72
  6. Step 6: Final answer
    x = 116,566.76

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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.