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Finding the Fourth Proportional to 201,619.80, 302,429.70 and 83,230.20

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Solution

The fourth proportional to 201,619.80, 302,429.70 and 83,230.20 is: 124,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,619.80 : 302,429.70 = 83,230.20 : x
  2. Step 2: Convert to fraction form
    201,619.80/302,429.70 = 83,230.20/x
  3. Step 3: Cross multiply
    201,619.80x = 302,429.70 × 83,230.20
  4. Step 4: Simplify right side
    201,619.80x = 25,171,284,416.94
  5. Step 5: Solve for x
    x = 25,171,284,416.94/201,619.80
  6. Step 6: Final answer
    x = 124,845.30

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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.