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Finding the Fourth Proportional to 122,744.80, 184,030.80 and 56,216.80

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Solution

The fourth proportional to 122,744.80, 184,030.80 and 56,216.80 is: 84,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,744.80 : 184,030.80 = 56,216.80 : x
  2. Step 2: Convert to fraction form
    122,744.80/184,030.80 = 56,216.80/x
  3. Step 3: Cross multiply
    122,744.80x = 184,030.80 × 56,216.80
  4. Step 4: Simplify right side
    122,744.80x = 10,345,622,677.44
  5. Step 5: Solve for x
    x = 10,345,622,677.44/122,744.80
  6. Step 6: Final answer
    x = 84,285.63

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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.