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Finding the Fourth Proportional to 181,760.80, 272,932.80 and 122,857.60

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Solution

The fourth proportional to 181,760.80, 272,932.80 and 122,857.60 is: 184,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,760.80 : 272,932.80 = 122,857.60 : x
  2. Step 2: Convert to fraction form
    181,760.80/272,932.80 = 122,857.60/x
  3. Step 3: Cross multiply
    181,760.80x = 272,932.80 × 122,857.60
  4. Step 4: Simplify right side
    181,760.80x = 33,531,868,769.28
  5. Step 5: Solve for x
    x = 33,531,868,769.28/181,760.80
  6. Step 6: Final answer
    x = 184,483.50

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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.