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Finding the Fourth Proportional to 235,406.75, 353,265.65 and 110,757.47

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Solution

The fourth proportional to 235,406.75, 353,265.65 and 110,757.47 is: 166,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,406.75 : 353,265.65 = 110,757.47 : x
  2. Step 2: Convert to fraction form
    235,406.75/353,265.65 = 110,757.47/x
  3. Step 3: Cross multiply
    235,406.75x = 353,265.65 × 110,757.47
  4. Step 4: Simplify right side
    235,406.75x = 39,126,809,078.12
  5. Step 5: Solve for x
    x = 39,126,809,078.12/235,406.75
  6. Step 6: Final answer
    x = 166,209.38

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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.