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Finding the Fourth Proportional to 243,864.87, 365,832.36 and 75,398.33

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Solution

The fourth proportional to 243,864.87, 365,832.36 and 75,398.33 is: 113,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,864.87 : 365,832.36 = 75,398.33 : x
  2. Step 2: Convert to fraction form
    243,864.87/365,832.36 = 75,398.33/x
  3. Step 3: Cross multiply
    243,864.87x = 365,832.36 × 75,398.33
  4. Step 4: Simplify right side
    243,864.87x = 27,583,149,600.45
  5. Step 5: Solve for x
    x = 27,583,149,600.45/243,864.87
  6. Step 6: Final answer
    x = 113,108.34

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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.