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Finding the Fourth Proportional to 201,866.06, 302,834.73 and 83,471.10

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Solution

The fourth proportional to 201,866.06, 302,834.73 and 83,471.10 is: 125,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,866.06 : 302,834.73 = 83,471.10 : x
  2. Step 2: Convert to fraction form
    201,866.06/302,834.73 = 83,471.10/x
  3. Step 3: Cross multiply
    201,866.06x = 302,834.73 × 83,471.10
  4. Step 4: Simplify right side
    201,866.06x = 25,277,948,031.30
  5. Step 5: Solve for x
    x = 25,277,948,031.30/201,866.06
  6. Step 6: Final answer
    x = 125,221.39

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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.