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Finding the Fourth Proportional to 235,575.82, 353,223.24 and 159,767.74

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Solution

The fourth proportional to 235,575.82, 353,223.24 and 159,767.74 is: 239,556.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,575.82 : 353,223.24 = 159,767.74 : x
  2. Step 2: Convert to fraction form
    235,575.82/353,223.24 = 159,767.74/x
  3. Step 3: Cross multiply
    235,575.82x = 353,223.24 × 159,767.74
  4. Step 4: Simplify right side
    235,575.82x = 56,433,678,770.28
  5. Step 5: Solve for x
    x = 56,433,678,770.28/235,575.82
  6. Step 6: Final answer
    x = 239,556.33

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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.