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Finding the Fourth Proportional to 212,997.14, 319,441 and 63,202

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Solution

The fourth proportional to 212,997.14, 319,441 and 63,202 is: 94,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,997.14 : 319,441 = 63,202 : x
  2. Step 2: Convert to fraction form
    212,997.14/319,441 = 63,202/x
  3. Step 3: Cross multiply
    212,997.14x = 319,441 × 63,202
  4. Step 4: Simplify right side
    212,997.14x = 20,189,310,082
  5. Step 5: Solve for x
    x = 20,189,310,082/212,997.14
  6. Step 6: Final answer
    x = 94,786.77

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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.