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Finding the Fourth Proportional to 201,614.80, 302,409.96 and 89,262.24

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Solution

The fourth proportional to 201,614.80, 302,409.96 and 89,262.24 is: 133,887.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,614.80 : 302,409.96 = 89,262.24 : x
  2. Step 2: Convert to fraction form
    201,614.80/302,409.96 = 89,262.24/x
  3. Step 3: Cross multiply
    201,614.80x = 302,409.96 × 89,262.24
  4. Step 4: Simplify right side
    201,614.80x = 26,993,790,427.91
  5. Step 5: Solve for x
    x = 26,993,790,427.91/201,614.80
  6. Step 6: Final answer
    x = 133,887.94

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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.