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Finding the Fourth Proportional to 122,728.30, 184,119.89 and 42,769.96

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Solution

The fourth proportional to 122,728.30, 184,119.89 and 42,769.96 is: 64,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,728.30 : 184,119.89 = 42,769.96 : x
  2. Step 2: Convert to fraction form
    122,728.30/184,119.89 = 42,769.96/x
  3. Step 3: Cross multiply
    122,728.30x = 184,119.89 × 42,769.96
  4. Step 4: Simplify right side
    122,728.30x = 7,874,799,656.35
  5. Step 5: Solve for x
    x = 7,874,799,656.35/122,728.30
  6. Step 6: Final answer
    x = 64,164.50

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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.