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Finding the Fourth Proportional to 201,059.08, 301,473.78 and 82,633

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Solution

The fourth proportional to 201,059.08, 301,473.78 and 82,633 is: 123,902.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,059.08 : 301,473.78 = 82,633 : x
  2. Step 2: Convert to fraction form
    201,059.08/301,473.78 = 82,633/x
  3. Step 3: Cross multiply
    201,059.08x = 301,473.78 × 82,633
  4. Step 4: Simplify right side
    201,059.08x = 24,911,682,862.74
  5. Step 5: Solve for x
    x = 24,911,682,862.74/201,059.08
  6. Step 6: Final answer
    x = 123,902.30

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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.