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Finding the Fourth Proportional to 201,797.82, 302,489.01 and 89,530.91

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Solution

The fourth proportional to 201,797.82, 302,489.01 and 89,530.91 is: 134,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,797.82 : 302,489.01 = 89,530.91 : x
  2. Step 2: Convert to fraction form
    201,797.82/302,489.01 = 89,530.91/x
  3. Step 3: Cross multiply
    201,797.82x = 302,489.01 × 89,530.91
  4. Step 4: Simplify right side
    201,797.82x = 27,082,116,330.30
  5. Step 5: Solve for x
    x = 27,082,116,330.30/201,797.82
  6. Step 6: Final answer
    x = 134,204.21

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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.