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Finding the Fourth Proportional to 243,015.96, 364,523.94 and 76,791

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Solution

The fourth proportional to 243,015.96, 364,523.94 and 76,791 is: 115,186.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,015.96 : 364,523.94 = 76,791 : x
  2. Step 2: Convert to fraction form
    243,015.96/364,523.94 = 76,791/x
  3. Step 3: Cross multiply
    243,015.96x = 364,523.94 × 76,791
  4. Step 4: Simplify right side
    243,015.96x = 27,992,157,876.54
  5. Step 5: Solve for x
    x = 27,992,157,876.54/243,015.96
  6. Step 6: Final answer
    x = 115,186.50

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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.