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Finding the Fourth Proportional to 201,082.60, 301,710.30 and 102,586.60

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Solution

The fourth proportional to 201,082.60, 301,710.30 and 102,586.60 is: 153,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,082.60 : 301,710.30 = 102,586.60 : x
  2. Step 2: Convert to fraction form
    201,082.60/301,710.30 = 102,586.60/x
  3. Step 3: Cross multiply
    201,082.60x = 301,710.30 × 102,586.60
  4. Step 4: Simplify right side
    201,082.60x = 30,951,433,861.98
  5. Step 5: Solve for x
    x = 30,951,433,861.98/201,082.60
  6. Step 6: Final answer
    x = 153,923.98

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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.