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Finding the Fourth Proportional to 122,864.46, 184,305.02 and 41,778.46

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Solution

The fourth proportional to 122,864.46, 184,305.02 and 41,778.46 is: 62,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,864.46 : 184,305.02 = 41,778.46 : x
  2. Step 2: Convert to fraction form
    122,864.46/184,305.02 = 41,778.46/x
  3. Step 3: Cross multiply
    122,864.46x = 184,305.02 × 41,778.46
  4. Step 4: Simplify right side
    122,864.46x = 7,699,979,905.87
  5. Step 5: Solve for x
    x = 7,699,979,905.87/122,864.46
  6. Step 6: Final answer
    x = 62,670.52

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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.