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Finding the Fourth Proportional to 201,091.80, 301,632.82 and 51,333.32

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Solution

The fourth proportional to 201,091.80, 301,632.82 and 51,333.32 is: 76,998.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,091.80 : 301,632.82 = 51,333.32 : x
  2. Step 2: Convert to fraction form
    201,091.80/301,632.82 = 51,333.32/x
  3. Step 3: Cross multiply
    201,091.80x = 301,632.82 × 51,333.32
  4. Step 4: Simplify right side
    201,091.80x = 15,483,814,071.56
  5. Step 5: Solve for x
    x = 15,483,814,071.56/201,091.80
  6. Step 6: Final answer
    x = 76,998.73

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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.