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Finding the Fourth Proportional to 201,415.80, 302,357.10 and 108,103.80

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Solution

The fourth proportional to 201,415.80, 302,357.10 and 108,103.80 is: 162,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,415.80 : 302,357.10 = 108,103.80 : x
  2. Step 2: Convert to fraction form
    201,415.80/302,357.10 = 108,103.80/x
  3. Step 3: Cross multiply
    201,415.80x = 302,357.10 × 108,103.80
  4. Step 4: Simplify right side
    201,415.80x = 32,685,951,466.98
  5. Step 5: Solve for x
    x = 32,685,951,466.98/201,415.80
  6. Step 6: Final answer
    x = 162,280.97

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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.