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Finding the Fourth Proportional to 365,352.48, 548,339.76 and 143,892

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Solution

The fourth proportional to 365,352.48, 548,339.76 and 143,892 is: 215,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,352.48 : 548,339.76 = 143,892 : x
  2. Step 2: Convert to fraction form
    365,352.48/548,339.76 = 143,892/x
  3. Step 3: Cross multiply
    365,352.48x = 548,339.76 × 143,892
  4. Step 4: Simplify right side
    365,352.48x = 78,901,704,745.92
  5. Step 5: Solve for x
    x = 78,901,704,745.92/365,352.48
  6. Step 6: Final answer
    x = 215,960.50

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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.