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Finding the Fourth Proportional to 201,301.80, 302,082.30 and 117,061.80

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Solution

The fourth proportional to 201,301.80, 302,082.30 and 117,061.80 is: 175,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,301.80 : 302,082.30 = 117,061.80 : x
  2. Step 2: Convert to fraction form
    201,301.80/302,082.30 = 117,061.80/x
  3. Step 3: Cross multiply
    201,301.80x = 302,082.30 × 117,061.80
  4. Step 4: Simplify right side
    201,301.80x = 35,362,297,786.14
  5. Step 5: Solve for x
    x = 35,362,297,786.14/201,301.80
  6. Step 6: Final answer
    x = 175,668.07

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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.