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Finding the Fourth Proportional to 201,842.20, 302,633.70 and 83,560.60

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Solution

The fourth proportional to 201,842.20, 302,633.70 and 83,560.60 is: 125,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,842.20 : 302,633.70 = 83,560.60 : x
  2. Step 2: Convert to fraction form
    201,842.20/302,633.70 = 83,560.60/x
  3. Step 3: Cross multiply
    201,842.20x = 302,633.70 × 83,560.60
  4. Step 4: Simplify right side
    201,842.20x = 25,288,253,552.22
  5. Step 5: Solve for x
    x = 25,288,253,552.22/201,842.20
  6. Step 6: Final answer
    x = 125,287.25

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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.