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Finding the Fourth Proportional to 182,989.13, 274,509.94 and 56,640.47

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Solution

The fourth proportional to 182,989.13, 274,509.94 and 56,640.47 is: 84,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,989.13 : 274,509.94 = 56,640.47 : x
  2. Step 2: Convert to fraction form
    182,989.13/274,509.94 = 56,640.47/x
  3. Step 3: Cross multiply
    182,989.13x = 274,509.94 × 56,640.47
  4. Step 4: Simplify right side
    182,989.13x = 15,548,372,021.27
  5. Step 5: Solve for x
    x = 15,548,372,021.27/182,989.13
  6. Step 6: Final answer
    x = 84,968.83

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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.