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Finding the Fourth Proportional to 201,382.80, 302,183.55 and 83,066.10

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Solution

The fourth proportional to 201,382.80, 302,183.55 and 83,066.10 is: 124,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,382.80 : 302,183.55 = 83,066.10 : x
  2. Step 2: Convert to fraction form
    201,382.80/302,183.55 = 83,066.10/x
  3. Step 3: Cross multiply
    201,382.80x = 302,183.55 × 83,066.10
  4. Step 4: Simplify right side
    201,382.80x = 25,101,208,982.66
  5. Step 5: Solve for x
    x = 25,101,208,982.66/201,382.80
  6. Step 6: Final answer
    x = 124,644.25

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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.