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Finding the Fourth Proportional to 243,023.96, 364,535.94 and 76,799

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Solution

The fourth proportional to 243,023.96, 364,535.94 and 76,799 is: 115,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,023.96 : 364,535.94 = 76,799 : x
  2. Step 2: Convert to fraction form
    243,023.96/364,535.94 = 76,799/x
  3. Step 3: Cross multiply
    243,023.96x = 364,535.94 × 76,799
  4. Step 4: Simplify right side
    243,023.96x = 27,995,995,656.06
  5. Step 5: Solve for x
    x = 27,995,995,656.06/243,023.96
  6. Step 6: Final answer
    x = 115,198.50

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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.