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Finding the Fourth Proportional to 201,834.87, 302,892.84 and 83,506.83

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Solution

The fourth proportional to 201,834.87, 302,892.84 and 83,506.83 is: 125,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,834.87 : 302,892.84 = 83,506.83 : x
  2. Step 2: Convert to fraction form
    201,834.87/302,892.84 = 83,506.83/x
  3. Step 3: Cross multiply
    201,834.87x = 302,892.84 × 83,506.83
  4. Step 4: Simplify right side
    201,834.87x = 25,293,620,898.10
  5. Step 5: Solve for x
    x = 25,293,620,898.10/201,834.87
  6. Step 6: Final answer
    x = 125,318.39

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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.