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Finding the Fourth Proportional to 201,731.80, 302,488.35 and 83,269.30

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Solution

The fourth proportional to 201,731.80, 302,488.35 and 83,269.30 is: 124,858.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,731.80 : 302,488.35 = 83,269.30 : x
  2. Step 2: Convert to fraction form
    201,731.80/302,488.35 = 83,269.30/x
  3. Step 3: Cross multiply
    201,731.80x = 302,488.35 × 83,269.30
  4. Step 4: Simplify right side
    201,731.80x = 25,187,993,162.66
  5. Step 5: Solve for x
    x = 25,187,993,162.66/201,731.80
  6. Step 6: Final answer
    x = 124,858.81

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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.