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Finding the Fourth Proportional to 200,675.40, 301,013.10 and 82,431.60

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Solution

The fourth proportional to 200,675.40, 301,013.10 and 82,431.60 is: 123,647.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,675.40 : 301,013.10 = 82,431.60 : x
  2. Step 2: Convert to fraction form
    200,675.40/301,013.10 = 82,431.60/x
  3. Step 3: Cross multiply
    200,675.40x = 301,013.10 × 82,431.60
  4. Step 4: Simplify right side
    200,675.40x = 24,812,991,453.96
  5. Step 5: Solve for x
    x = 24,812,991,453.96/200,675.40
  6. Step 6: Final answer
    x = 123,647.40

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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.