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Finding the Fourth Proportional to 243,736.98, 365,471.49 and 75,211.32

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Solution

The fourth proportional to 243,736.98, 365,471.49 and 75,211.32 is: 112,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,736.98 : 365,471.49 = 75,211.32 : x
  2. Step 2: Convert to fraction form
    243,736.98/365,471.49 = 75,211.32/x
  3. Step 3: Cross multiply
    243,736.98x = 365,471.49 × 75,211.32
  4. Step 4: Simplify right side
    243,736.98x = 27,487,593,185.27
  5. Step 5: Solve for x
    x = 27,487,593,185.27/243,736.98
  6. Step 6: Final answer
    x = 112,775.64

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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.