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Finding the Fourth Proportional to 181,853.59, 272,780.40 and 55,494.50

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Solution

The fourth proportional to 181,853.59, 272,780.40 and 55,494.50 is: 83,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,853.59 : 272,780.40 = 55,494.50 : x
  2. Step 2: Convert to fraction form
    181,853.59/272,780.40 = 55,494.50/x
  3. Step 3: Cross multiply
    181,853.59x = 272,780.40 × 55,494.50
  4. Step 4: Simplify right side
    181,853.59x = 15,137,811,907.80
  5. Step 5: Solve for x
    x = 15,137,811,907.80/181,853.59
  6. Step 6: Final answer
    x = 83,241.76

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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.