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Finding the Fourth Proportional to 201,416.56, 302,133.02 and 83,076.62

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Solution

The fourth proportional to 201,416.56, 302,133.02 and 83,076.62 is: 124,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,416.56 : 302,133.02 = 83,076.62 : x
  2. Step 2: Convert to fraction form
    201,416.56/302,133.02 = 83,076.62/x
  3. Step 3: Cross multiply
    201,416.56x = 302,133.02 × 83,076.62
  4. Step 4: Simplify right side
    201,416.56x = 25,100,188,165.94
  5. Step 5: Solve for x
    x = 25,100,188,165.94/201,416.56
  6. Step 6: Final answer
    x = 124,618.30

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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.