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Finding the Fourth Proportional to 201,842.07, 302,771.40 and 75,469.51

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Solution

The fourth proportional to 201,842.07, 302,771.40 and 75,469.51 is: 113,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,842.07 : 302,771.40 = 75,469.51 : x
  2. Step 2: Convert to fraction form
    201,842.07/302,771.40 = 75,469.51/x
  3. Step 3: Cross multiply
    201,842.07x = 302,771.40 × 75,469.51
  4. Step 4: Simplify right side
    201,842.07x = 22,850,009,200.01
  5. Step 5: Solve for x
    x = 22,850,009,200.01/201,842.07
  6. Step 6: Final answer
    x = 113,207.37

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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.