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Finding the Fourth Proportional to 181,796.98, 272,705.95 and 55,441.54

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Solution

The fourth proportional to 181,796.98, 272,705.95 and 55,441.54 is: 83,165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,796.98 : 272,705.95 = 55,441.54 : x
  2. Step 2: Convert to fraction form
    181,796.98/272,705.95 = 55,441.54/x
  3. Step 3: Cross multiply
    181,796.98x = 272,705.95 × 55,441.54
  4. Step 4: Simplify right side
    181,796.98x = 15,119,237,835.16
  5. Step 5: Solve for x
    x = 15,119,237,835.16/181,796.98
  6. Step 6: Final answer
    x = 83,165.51

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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.