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Finding the Fourth Proportional to 201,835.96, 302,754.37 and 189,504.87

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Solution

The fourth proportional to 201,835.96, 302,754.37 and 189,504.87 is: 284,257.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,835.96 : 302,754.37 = 189,504.87 : x
  2. Step 2: Convert to fraction form
    201,835.96/302,754.37 = 189,504.87/x
  3. Step 3: Cross multiply
    201,835.96x = 302,754.37 × 189,504.87
  4. Step 4: Simplify right side
    201,835.96x = 57,373,426,581.26
  5. Step 5: Solve for x
    x = 57,373,426,581.26/201,835.96
  6. Step 6: Final answer
    x = 284,257.70

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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.