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Finding the Fourth Proportional to 181,408.40, 272,112.60 and 106,564.40

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Solution

The fourth proportional to 181,408.40, 272,112.60 and 106,564.40 is: 159,846.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,408.40 : 272,112.60 = 106,564.40 : x
  2. Step 2: Convert to fraction form
    181,408.40/272,112.60 = 106,564.40/x
  3. Step 3: Cross multiply
    181,408.40x = 272,112.60 × 106,564.40
  4. Step 4: Simplify right side
    181,408.40x = 28,997,515,951.44
  5. Step 5: Solve for x
    x = 28,997,515,951.44/181,408.40
  6. Step 6: Final answer
    x = 159,846.60

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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.