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Finding the Fourth Proportional to 263,707.35, 395,773.14 and 137,385.33

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Solution

The fourth proportional to 263,707.35, 395,773.14 and 137,385.33 is: 206,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,707.35 : 395,773.14 = 137,385.33 : x
  2. Step 2: Convert to fraction form
    263,707.35/395,773.14 = 137,385.33/x
  3. Step 3: Cross multiply
    263,707.35x = 395,773.14 × 137,385.33
  4. Step 4: Simplify right side
    263,707.35x = 54,373,423,444.04
  5. Step 5: Solve for x
    x = 54,373,423,444.04/263,707.35
  6. Step 6: Final answer
    x = 206,188.50

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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.