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Finding the Fourth Proportional to 201,674.21, 302,462.10 and 83,379.38

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Solution

The fourth proportional to 201,674.21, 302,462.10 and 83,379.38 is: 125,048.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,674.21 : 302,462.10 = 83,379.38 : x
  2. Step 2: Convert to fraction form
    201,674.21/302,462.10 = 83,379.38/x
  3. Step 3: Cross multiply
    201,674.21x = 302,462.10 × 83,379.38
  4. Step 4: Simplify right side
    201,674.21x = 25,219,100,859.19
  5. Step 5: Solve for x
    x = 25,219,100,859.19/201,674.21
  6. Step 6: Final answer
    x = 125,048.72

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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.