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Finding the Fourth Proportional to 272,459.94, 408,669.18 and 120,704.01

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Solution

The fourth proportional to 272,459.94, 408,669.18 and 120,704.01 is: 181,046.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,459.94 : 408,669.18 = 120,704.01 : x
  2. Step 2: Convert to fraction form
    272,459.94/408,669.18 = 120,704.01/x
  3. Step 3: Cross multiply
    272,459.94x = 408,669.18 × 120,704.01
  4. Step 4: Simplify right side
    272,459.94x = 49,328,008,789.41
  5. Step 5: Solve for x
    x = 49,328,008,789.41/272,459.94
  6. Step 6: Final answer
    x = 181,046.83

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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.