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Finding the Fourth Proportional to 201,131.96, 301,736.84 and 76,463.24

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Solution

The fourth proportional to 201,131.96, 301,736.84 and 76,463.24 is: 114,709.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,131.96 : 301,736.84 = 76,463.24 : x
  2. Step 2: Convert to fraction form
    201,131.96/301,736.84 = 76,463.24/x
  3. Step 3: Cross multiply
    201,131.96x = 301,736.84 × 76,463.24
  4. Step 4: Simplify right side
    201,131.96x = 23,071,776,413.76
  5. Step 5: Solve for x
    x = 23,071,776,413.76/201,131.96
  6. Step 6: Final answer
    x = 114,709.65

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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.