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Finding the Fourth Proportional to 145,201.56, 217,753.21 and 55,222.89

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Solution

The fourth proportional to 145,201.56, 217,753.21 and 55,222.89 is: 82,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,201.56 : 217,753.21 = 55,222.89 : x
  2. Step 2: Convert to fraction form
    145,201.56/217,753.21 = 55,222.89/x
  3. Step 3: Cross multiply
    145,201.56x = 217,753.21 × 55,222.89
  4. Step 4: Simplify right side
    145,201.56x = 12,024,961,562.98
  5. Step 5: Solve for x
    x = 12,024,961,562.98/145,201.56
  6. Step 6: Final answer
    x = 82,815.65

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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.