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Finding the Fourth Proportional to 263,712.26, 395,579.35 and 76,723.76

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Solution

The fourth proportional to 263,712.26, 395,579.35 and 76,723.76 is: 115,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,712.26 : 395,579.35 = 76,723.76 : x
  2. Step 2: Convert to fraction form
    263,712.26/395,579.35 = 76,723.76/x
  3. Step 3: Cross multiply
    263,712.26x = 395,579.35 × 76,723.76
  4. Step 4: Simplify right side
    263,712.26x = 30,350,333,538.50
  5. Step 5: Solve for x
    x = 30,350,333,538.50/263,712.26
  6. Step 6: Final answer
    x = 115,088.82

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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.