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Finding the Fourth Proportional to 181,420.80, 272,131.74 and 55,062.06

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Solution

The fourth proportional to 181,420.80, 272,131.74 and 55,062.06 is: 82,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,420.80 : 272,131.74 = 55,062.06 : x
  2. Step 2: Convert to fraction form
    181,420.80/272,131.74 = 55,062.06/x
  3. Step 3: Cross multiply
    181,420.80x = 272,131.74 × 55,062.06
  4. Step 4: Simplify right side
    181,420.80x = 14,984,134,195.78
  5. Step 5: Solve for x
    x = 14,984,134,195.78/181,420.80
  6. Step 6: Final answer
    x = 82,593.25

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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.