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Finding the Fourth Proportional to 201,777.20, 302,536.20 and 83,495.60

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Solution

The fourth proportional to 201,777.20, 302,536.20 and 83,495.60 is: 125,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,777.20 : 302,536.20 = 83,495.60 : x
  2. Step 2: Convert to fraction form
    201,777.20/302,536.20 = 83,495.60/x
  3. Step 3: Cross multiply
    201,777.20x = 302,536.20 × 83,495.60
  4. Step 4: Simplify right side
    201,777.20x = 25,260,441,540.72
  5. Step 5: Solve for x
    x = 25,260,441,540.72/201,777.20
  6. Step 6: Final answer
    x = 125,189.77

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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.