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Finding the Fourth Proportional to 201,997.70, 302,996.55 and 192,812.30

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Solution

The fourth proportional to 201,997.70, 302,996.55 and 192,812.30 is: 289,218.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,997.70 : 302,996.55 = 192,812.30 : x
  2. Step 2: Convert to fraction form
    201,997.70/302,996.55 = 192,812.30/x
  3. Step 3: Cross multiply
    201,997.70x = 302,996.55 × 192,812.30
  4. Step 4: Simplify right side
    201,997.70x = 58,421,461,697.57
  5. Step 5: Solve for x
    x = 58,421,461,697.57/201,997.70
  6. Step 6: Final answer
    x = 289,218.45

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1.5x scale

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.