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Finding the Fourth Proportional to 200,616.60, 301,041.55 and 82,372.80

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Solution

The fourth proportional to 200,616.60, 301,041.55 and 82,372.80 is: 123,607.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,616.60 : 301,041.55 = 82,372.80 : x
  2. Step 2: Convert to fraction form
    200,616.60/301,041.55 = 82,372.80/x
  3. Step 3: Cross multiply
    200,616.60x = 301,041.55 × 82,372.80
  4. Step 4: Simplify right side
    200,616.60x = 24,797,635,389.84
  5. Step 5: Solve for x
    x = 24,797,635,389.84/200,616.60
  6. Step 6: Final answer
    x = 123,607.10

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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.