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Finding the Fourth Proportional to 174,529, 261,793.50 and 56,212.30

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Solution

The fourth proportional to 174,529, 261,793.50 and 56,212.30 is: 84,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,529 : 261,793.50 = 56,212.30 : x
  2. Step 2: Convert to fraction form
    174,529/261,793.50 = 56,212.30/x
  3. Step 3: Cross multiply
    174,529x = 261,793.50 × 56,212.30
  4. Step 4: Simplify right side
    174,529x = 14,716,014,760.05
  5. Step 5: Solve for x
    x = 14,716,014,760.05/174,529
  6. Step 6: Final answer
    x = 84,318.45

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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.