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Finding the Fourth Proportional to 145,008.20, 217,102.70 and 140,912.20

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Solution

The fourth proportional to 145,008.20, 217,102.70 and 140,912.20 is: 210,970.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,008.20 : 217,102.70 = 140,912.20 : x
  2. Step 2: Convert to fraction form
    145,008.20/217,102.70 = 140,912.20/x
  3. Step 3: Cross multiply
    145,008.20x = 217,102.70 × 140,912.20
  4. Step 4: Simplify right side
    145,008.20x = 30,592,419,082.94
  5. Step 5: Solve for x
    x = 30,592,419,082.94/145,008.20
  6. Step 6: Final answer
    x = 210,970.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.