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Finding the Fourth Proportional to 263,501.92, 395,263.86 and 76,513.44

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Solution

The fourth proportional to 263,501.92, 395,263.86 and 76,513.44 is: 114,773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,501.92 : 395,263.86 = 76,513.44 : x
  2. Step 2: Convert to fraction form
    263,501.92/395,263.86 = 76,513.44/x
  3. Step 3: Cross multiply
    263,501.92x = 395,263.86 × 76,513.44
  4. Step 4: Simplify right side
    263,501.92x = 30,242,997,636.28
  5. Step 5: Solve for x
    x = 30,242,997,636.28/263,501.92
  6. Step 6: Final answer
    x = 114,773.35

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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.